Belief in compatibilism is not faith based. It is empirical and analytical.
However, I guess one could “argue” that belief in anything at all, including my own existence, is faith based. If one takes that tack, why discuss anything at all?
This is quite a good point.
I argue for the least amount of belief that allows the lowest amount of complexity.
I wouldn't be surprised if there's a euclidean solution for it like "time as we see it is the n dimension shadow of a n+1 dimensional thing", but even that forms deterministically as a sequence of interactions, is calculated over a "dimension of time".
This is... Remarkably non-complex, but still not fatalistic. Even in the shadows cast upon a wall there is room for intelligence and the concept of alternatives, specifically the alternative of a different angle of projection for the shadow.
This doesn't require a belief that even that is 'fatal', and I would argue that it is not; that whatever interaction that produces contains within it things that are free, such as they are, in the moments of time that exist within the expression, and which bear responsibility in the position for ongoing events.
Fatalism is just... Not necessary as a belief, and I have waged multiple times is contradictory.
It's just... Unnecessary and arguably problematic.
I will try all day every day every way to test or seek for evidence of unacknowledged but real complexity, and when verified I will fully acknowledge it's there. But if someone asks me to believe something that cannot be disprove that assumes more than something else, I'm going to apply the razor, and stand by the well tested conclusion that the extraordinary claim that the universe we see is this "fatalistic" thing.
And still we can ask, even of the shadow, what happens when an angle of incidence is shifted for some step of the calculation, even if it never is, and this might be seen simulated by the system itself.
In fact, in some ways, when we exercise free will, we take a moment to imagine a universe more complex, one like this, logically possible if there was a 'god' in fact.
This is one of the reasons I think that it's so utterly destructive to the self to not think about God or Gods just because you don't believe in them or just because it's nonsense.
In our minds, we play the god and imagine the more complex universe with a less complex one simulated in our minds which shares, symmetrically to the real one, certain 'abstract invariants'. These invariants allow predicting things in reality, using the fact about variations in the undisprovable assumption that there may be a (Spinozan) god, and the fact that the lower simulation constrains which set of possible worlds you might say something about (in that subset of possible gods).
Again, this does not require belief in A god. Arguably a belief in A god would muck the whole thing up because then you wouldn't consider all the possible ones you need to, in abstract.
At any rate, you find one that observed this, created another universe Last Thursday mostly like that one but where one thing is changed, and then see what happens when you are that logically possible (in fact completely concrete) god of the world of the simulation that considers the possibility.
Then, you discover that while you do not believe there is a creator god, or an infinite universe of all universes that can ever be expressed as such, your consideration of the possibility has assured you that your location doesn't suck as badly as any of those worlds where you
were god and made "yourself" make bad decisions, and where other people danced to a fate you spun for them.
In the end, perhaps that the logic of solipsism: that there is only one consciousness, it's yours, you're simulating everything and so you have power over the fate of everything... Then it might be easy to tell people they don't have free will, I suppose, too, but that's because you believe you can reach out and puppet the universe arbitrarily like a Kabuki show, or that something else is there that could and may and would.