Is anything I just said possibly plausible?
Individually, some of your premises are plausible. For example there is a developing belief that the four "forces" (electromagnetic, strong nuclear force, weak nuclear force, gravitational) may be expressions of two, or possibly even a single unified force.
Congealing energy in crystals is nothing new, at least when electromagnetic forces are in play; phenomenons such as triboluminescence, piezoelectricity and gadgets such as electrostatic capacitors may all be considered forms of such.
Building on all of them together is not going to work.
The problem lies in the fact that we are electromagnetic creatures - our life processes are based on only one force, electromagnetism. Even those few organisms that are commonly said to rely on nuclear forces such as radiotrophic fungi are really based on the electromagnetic by-products of nuclear phenomenons. Analogously, the fact that we live on planets, which only exist thanks to gravitational force, does not make us gravitationally powered, or capable of any significant intentional gravitational manipulation (hold the obesity joke).
The four forces we know of are thought to be a differentiation of a single force; think of it as a large river that flows into four smaller emissaries. When you bring together two emissaries you get the originating, larger river, itself an emissary of a yet larger one. But to do the joining, you need energy. To unify the weak nuclear force with electromagnetic force you need to attain the first unification level at 246 GeV (one gigaelectronvolt is the energy acquired by an electron subject to a potential of one billion volt). To unify this combined electroweak force with strong nuclear force you need to exceed the second unification level (GUT) at 1016 GeV - that's 10,000,000,000,000 GeV or ten billion TeV, an increase of a factor of forty billion. The CERN supercollider can reach 14 TeV (out of 10,000,000,000). To try and give an idea, an electron endowed with GUT-level energies would have an energy of 1.6 mega-Joules, or 440 Wh; enough to power an iPhone for two months.
If a 1eV electron was a pea hitting you just hard enough to feel it, a GUT-level electron would have the force of one billion billions Tsar Bombs - it would instantaneously disintegrate you to plasma, dissolve that plasma into nucleons, pulverize the nucleons into a quark fog, turn the whole continent into a fireball, and the heat flash from the explosion might strip the atmosphere off Venus.
To be able to interact at TOE levels, unifying the last force, the required energies are (if possible) even more terrifying. And cannot be attained by any conceivable level of genetic engineering; just to reach the TeV threshold, one would need to be genetically engineered into a proton-smashing ring at least four kilometers in radius, with powerful electromagnets and supercooling to very near absolute zero, both very, very hard for any biological construct. And that level is both woefully short of GUT, and completely incapable of any meaningful control.
The best that has been done to my knowledge to "make magic real" is quickly handwave the Uncertainty Principle and entanglement (mandatory caveat: this is handwaving. It totally is not scientifically sound) and have a sophont's nervous system - since it's connected to the brain and oh-so-tiny - develop magical nodes. Changes in magical nodes cause entangled changes in nearby matter. You still can't handwave away conservation of mass and energy, so lifting one ton of iron will push you down with one ton (okay, 9807 newtons) of force, likely killing you - but, if you can "convince" a sufficient number of bound neutrons to beta-decay and relocate elsewhere, you've got the making of a hell of a fire-spell. Nuclear powered to boot. Catalyzing massive changes between a target object and a mana crystal is one way of sidestepping the biological limitations of a magical node, supplying an amplification method for magic.
The mechanisms above, while definitely not physically plausible, at least provide a single unbelief-suspension point to explain most common magic plot points.