Imagine choosing to raise your arm, but it doesn't happen; and it is important to note here that it was physically able to raise. So imagine that none of your choices happen even though they were physically suppose to. That is what it would be like with no free will.
More specifically, you had the freedom to choose, but you didn't have the will to initiate the physical. Many times we have the freedom and the will (hence free will). What are the chances that those things happen to align probabilistically? Maybe it is an illusion, but I would argue by Occam's Razor that it is more likely we are the freedom and the will in a universe sometimes trying to constrain it.
You are still pulling the horse along with a cart.
If I didn't raise my arm, when nothing was stopping me from doing so, then I do not ever believe that I wished to do so but it failed to occur. I believe that I wished not to, and was successful. The alternative is insanity.
There is absolutely zero evidence that the belief (after the fact) that what occurred was what was willed, is anything other than a post-hoc rationalization; The world looks exactly as we would predict it to look if the whole process was the reverse of what your intuition is suggesting it to be. There is no evidence for will; and I hypothesize that this is because it does not exist - which is the parsimonious and correct approach when considering an entity that is not required to explain our observations of reality.
The evidence for will is the same as the evidence for Phlogiston - it kinda looks like it might be a bit possible, as long as you don't mind positing entities that are not required in order to explain the real world.
People
like the idea of will (and even more, the idea of 'free will'); They also
like the idea of Gods, Demons, Dragons and Unicorns. But if they want anyone else to agree with their claim that Dragons are real, they need to provide some evidence.
Occam's razor says that you should not multiply entities without cause. The universe with will is more entities than the universe without will. Occam says that will does not exist unless you can show a need for it - an observation with no more parsimonious explanation. Occam did not say that things are real if you feel like they should be.