Interesting q, there are few but not sure are they expedient enough for you.
First of all, a thing which surprised me, it napkin calculations but, still. A 1km2 land with grass or a forest can produce about 200t of dry plant matter per season. And if I'm not wrong with my calculations but if we take about 10'000'000 tons per day of oil extraction and about 25'000'000 tons per day of coal extraction, then 38% of land covered with grass should be capable to bind all carbon produced by us. Sure our activity is not the only source of carbon, decomposing of plant matter by animals, fishes, insects, and bacteria is one of those as well. So surprising, but killing all drivers, or putting them ballistic electric may not necessarily have such huge expected consequences, so for humanity, I hope this small calculus/observation helps put down some of your fire and save some humans from extermination.
Nuclear winter is also a good solid plan, which allows solving the problem of extinguishing all remaining resistance. It(and volcanic activity) lays at the core of proposals of dispersing aerosols in the atmosphere. This approach has its problems - not permanent, hard to control, helps almost as much as not helps(plants get less light and thus bind less CO2), or in case of nuke winter, attention on the word winter, there is no plants, and once you get out of winter plants are dead and the situation is worse than before.
Comrades, we move into a bright future, all humans unite
From experience, your new global order has to have not only a big stick but also a big carrot. Stick has to be real, but carrot can be imaginary.
Or I better reword.
You may need a big signature project, which brings clear/understandable benefits, in the future, and allows you to justify current actions. Such a move was used for ages, by all kinds of groups. It is not good or bad it is how it works, and will it be good or bad depends on people involved, on goals chosen, and by the - do they succeed or not.
Signature project
Sun umbrella can be such a signature project.
What it is? At a bare minimum, it is a patch of non-transparent objects in earth-sun L1 points (Lagrange point) with a total area of 2.5kk km2 (2.5 million square km's) which is blocking about 2% of energy delivered from the sun to earth.
The bare minimum is not such a great way to do so, and it helps us to set a grander goal, but reasons it not that great should be mentioned
- +offsets the warming once installed
- -not enough control to make things better in the future
- -not enough sweet benefits for all, besides it works - no fun, bad review
A grander and better solution would be to have a bigger umbrella. And as side products and benefits to become K1 civilization, space living civilization, spacefaring civilization. This can be indications for great management of the new order and its glory, justify some sacrifices on the way, proving the might of technological civilization and humanity.
And as a practical achievement it is the ability to not only mitigate warming effects once installed, but control weather in general, and increase the productivity of plants, meaning there are plenty of fun things it can be used for (including extinguishing the last bits of resistance)
Potential for hideous things to do on the way, to make it more expedient, mm not sure about it - making all Intellectual Properties a Public Domain or MIT, or CC-BY or one of your choice which you think fits the bill the most.
timeline
I would say two 5-year plans should be enough. One for planning testing designing, one for implementing.
Effects start immediately once implementation begins. Some aspects are presented here How fast could we build a Dyson Swarm? Full Dyson swarm is not required, K1 level is enough.
A useful installation it can be - this one as an example A big primitive computer in orbit, very big, powerfull but old technologies from 80's, what is a potential fiat money value for its use? except it does not have to be primitive and can deliver 4-5 orders of magnitude more calculations, ai training, generative design and other things which can be useful for technologies development.
So such a step can not only solve GW but also have a good push for our technologies. And other useful installations in space, so as inhabiting space itself.
So, all in all, 5 years to start, 5 years to finish - 10y total and GW is no more and the planet feels better than ever.
ESG notes
in general, the problem is not necessarily in that we limit our solution field by S or G or both, or entertaining an illusion that a solution is possible on the safe side of things.
Things are unfortunately worse than that, not excluding the T,power pesky thing, or social crusades for benefit of a few, as usual. There are objective things as well. Corona is one of the examples of how shaky is our current technological fundament, the system of connections, and such. The current most significant factor keeping nations in check is not MAD, but that any global war conflict will be like hands full of sand thrown into the clockwork. Because it was(and still is) not an event that really endangers people, but increases the chance of deaths for a minority of people. (I do not underplay potential danger it can evolve into, or harm it does, do vaccination, but compared to some other potential disruptions, which we can do, it is insignificant, and we really dodged a bullet this time, how many more time we will be so lucky.)
The notion of absence of common good which is a mindset in capitalist societies, along with the typical incompetence of governance leaders(senators, parliament members, deputies, whatever - it is all the same over the globe - not saying there aren't smart people or that there aren't good ones - it just selection factors at play - sweet-talking which creates a disproportion.)
So, distracted, that notion of the absence of common good does not allow us to formulate goals that can be effective, within our capacities, and it settles on local solutions which can get local support (be those effective or harmful, does not matter, 90% are not capable to see those negative consequences, for plenty of reasons, iq is not on top of the list of the reasons)
Capitalism is the reason for the problem, so as the reason for it being incapable to solve it until some cost-effective technology is invented. what happens first, is it invented or technology chains disrupted and rip the possibility of such technology to be invented - your guess is as good as mine. Capitalism by itself is that super idea that is in place of some different pan/super idea which could make a solution possible. Communism was such an idea, but it can be anything, sure not just random things, but it can be absurd like build the kingdom of God on earth - as an orienteer, as direction, it less important how practical it is, or how close we are for its realization or how possible it is at all. its important part is how, in which way, it defines the mindset of the human swarm, affects agents of that swarm, in a sense of swarm logic. it was less important a century ago, but today the amount of information required to understand our civilization or its aspects like technologies as an example - that amount is so immense, that it does not matter how smart one is there are no chances to see the full picture of connections of cause and effect. Honestly not such a new problem, it just that back in the days they had a sliver of hope, thus all those philosophers since 2k years, but now is just easy to see - no, there is no hope for that at all and it won't be any better in the future. Further specialization and expert takes, judgment and conclusions will become detrimental for our survival, and it needs to have a situation that has fewer pitfalls for them to sell our survival for short personal benefits.
Global warming is not necessarily a big deal, (as mentioned 10y - done), it still can be solved in that capitalist's survival of the fittest way, but what about some next problem we will have?
A good pan idea is what we may need. A good in some special way, as for God Emperor may be a good one - one which includes the notion of the existence of common good, common necessity(but please, not in the way dem-party does, even commies were better). There aren't that many things we universally can agree upon, but there are some - life is good and good life is even better is one of those.
And because of that, I think that Space can become a basis for such greater idea - it offers resources and solutions for that life and better life, needs just to avoid it to become a second wild west, and some factors are helpful in that - plenty of resources, easy to destroy things - a good basis for negotiations and developing universal approaches of sharing resources in a way beneficial for most ppl.