To give you a jumping off point, 'illusion' has a specific definition in the non-dualist domain so you want to make sure you aren't bringing your own from home. You also smuggle in an 'I' and a 'me' which should be breakpoint-inducing words to mention in a philosophical conversation. The people claiming free will is an illusion have rationally cancelled 'I' out of their statements.
You've basically made the argument against free will in your comment but your definitions are loose so you parse it as an argument for free will.
https://www.samharris.org/podcasts/waking-up-conversations/d...
Trying to work out whether you could choose differently to your predetermined choice just isn’t a meaningful concept. Imagine you have a deterministic program which returns true or false based on some inputs. If it is modified to return the opposite of what it previously returned, it is no less deterministic.
If those processes are entirely deterministic then that means every action you take is also deterministic - as in, you could not have acted otherwise.
When there are two choices laid out before you, you "choose" one in the same sense that an NPC in a video game chooses its actions: by running a complex set of internal logic.
"Free will" is the notion that you have the freedom to exert your will to choose courses of action. Even though you chose to do A, you could have instead have chosen to do B.
You think you're deciding things, hence you think you have free will. But all those decisions are based on deterministic circuits, therefore you're not actually in control. Your ability to decide things and act in free will is an illusion.
Link to evidence?
There's the caveat of Everettian quantum mechanics, where the universe is described exclusively through the wave function which evolves completely deterministically. However, this still causes the observer to experience a measurement outcome as truly nondeterministic; there's just one version of the observer for each measurement outcome.
Here's the Wikipedia article on quantum indeterminacy, which I'm sure you can use as a jumping-off point for further reading: https://en.m.wikipedia.org/wiki/Quantum_indeterminacy
EDIT: Though while this topic is fascinating, I don't think it's extremely relevant to my own thoughts on free will or whatever. I'm perfectly happy to discuss a hypothetical brain which is truly deterministic, and I don't think I would consider a consciousness simulated on a deterministic computer to have any less "free will". The consciousness in the computer would _be_ the circuitry and program. Of course it couldn't make different choices twice given the exact same state and input; it wanted to make the choice it did because of its state and inputs. I don't understand how the choice is any less free just because it's deterministic.
What is happening at the quantum level, to the extent that we can understand it, isn't directly translatable into a non-deterministic world at the higher macro level. And so, we do expect and observe a certain level of determinism in our macro scale world. For e.g. A topic relevant to this community - Computing. For the vast vast majority of cases when thousands of people execute the same program on the same or similar hardware at different times in different regions we do expect, and observe the same deterministic result. The outliers to this are primarily due to damage to the processor/equipment, software bugs, or other known factors (including alpha particles/radiation, etc).