Why I'm a compatibilist about free will I'm going to break it down for you. Right or wrong, this is my reasoning:
1. A causally closed system either evolves towards the future deterministically, or it is in some part random. So that's the difference between determinism and indeterminism - indeterminism has some randomness.
2. Thus any time someone expresses an idea that's supposedly "incompatible with determinism", that's the same thing as saying "this idea requires randomness"
3. When libertarians say free will is incompatible with determinism, I hear "free will requires randomness"
4. I do not believe any coherent concept of free will requires randomness (and that's independent of whether or not I think randomness actually exists), and that's for one simple reason: if something is random, it's uncontrolled. If random stuff is happening in your brain or in your mind or in your agency, you don't control that any more than you control a fully determined brain / mind / agency (and it could be argued that the randomness gives you explicitly less control)
5. Therefore I believe that the libertarian concept of free will is incorrect (and again, that's independent of whether or not I think randomness actually exists). At this point I can either reframe free will to be more coherent according to my understand, or reject it altogether
6. I DID reject it altogether for many years. Perhaps you think that's a more coherent position, and perhaps it is.
7. Some years ago, something flipped, I don't recall what or why, but I came to accept the idea of a compatibilist emergent decision making process. Such a process doesn't rely on randomness (again, regardless of whether randomness actually exists). Through much abstract contemplation, most of which I can't put into words, that ended up with me thinking that some flavour of compatibilism is the right way to think about free will.