The humans are toast (well, medium rare anyway).
Short version : ten degrees Celsius should do it, twenty would be more than enough.
Luckily for us, their ovens are really slow and the Earth heats up really slowly (a few degrees celcius every year) Which, I assume would give use enough time to react to the change in temperature and allow us to start building infrastructure to prevent our inevitable death. Though, of course, once we're in the oven there's no leaving it.
Have a quick look at the news. Scientists have been patiently (and impatiently) explaining to everyone that we're screwing up the planet's weather and, hey, we call it global warming and it's going to be bad.
And in the many years since they started doing this precisely how much action has been taken by the powers that be to do anything constructive about this : nothing.
So the assumption humanity as a whole, which has never acted entirely together on a single project and is the universe's prime example of "cut off your nose to spite your face", will act in a mere five years to do something is the wildest optimism.
That said ...
Everything except for the monsters and the fact the Earth is heating up at an alarming rate, is the same as it is today.
Exactly the same as it is, because we're already heating up the atmosphere at an alarming rate ourselves. :-(
Well we don't function for extended periods at high temperatures and high humidity. The Mayo Clinic has a page on Heat Exhaustion and it's worth reading. In short at normal humidity levels you can just about cope with $37^\circ C$, but as humidity rises you'll start really over-heating at "only" $33^\circ C$.
Well in your scenario humidity will rise almost everywhere (hard to be precise), and that means much hotter feeling and much more difficulty doing basic tasks. As your temperature rise is about a few degrees every year, it's only gong to take a year to make some places barely livable and a mere three years to make even places like Ireland become a sweltering tropical hell.
But that's OK as the ice cap will rapidly disintegrate in those temperature rises and the massive worldwide flooding, torrential rainfall and resulting landslides and other issues will render most of the inhabitable areas real disaster zones.
On this time scale ( a few years, not even five ) they won't even have set up committees to argue about whose fault it is nothing is being done, let alone solve the problem. In practical terms there is no way the world's industrial and food production systems will survive with such enormous damage and I'd expect worldwide famine and a reduction in industrial and economic output that would be catastrophic and make it virtually impossible to develop a response to the crisis (even if it was politically possible).
Note that all life on the planet will be affected, from ocean plankton to penguins. Nothing currently living on Earth (with a few oddball exceptions) is capable of adapting that quickly to both a huge climate change (that's increases in pace) and the sudden destruction of the ecosystems they depend on. We depend on all that other life to keep us going, so our survival alone is not an option.
If the aliens keep pouring on the heat and increasing temperature at that rate, it's impossible for a sustained survival of more than some thousands of humans in e.g. a specially built emergency bunkers. But even these can't survive indefinitely. After ten years or so (imagine trying to store and grow food in such a system) the food will start to run out, and the power systems will fail as will heat regulation (because the outside keep getting hotter). There won't be infrastructure to supply parts to replace failing equipment. Things will rapidly go downhill as that happens and in say twenty years even these shelters would be lifeless.
By twenty years or so, while the temperature is notionally going to increase by some $60^\circ C$ (which is essentially instant death), the atmosphere will most likely have tipped into runaway greenhouse effect and we'll be heading towards (if not actually in) an atmosphere more like Venus than anything you'd find on Earth now.
Once again, WB SE has killed the glorified monkeys. Yay. :-)