The idea that determinism and consciousness are incompatible is deeply intuitive to many people. And many other embrace it - you can trace this back to the debates for and against Calvinism.

A lot comes down to the way people parse causation and choice. You don't want to say that a murderer was completely caused to choose something because then you can't hold the person responsible. And so determined consciousness makes people unhappy. But just as much, if the opposite of determinism is hard statistical randomness, how do say that "is the essence of personhood". This is why physicist go out in the world trying to find consciousness as a fifth physical force.

I mean, think consciousness is a term that ever have a non-contradictory meaning since it's primarily used to bound ethical human worlds and the verifiable formulations of biological and physical systems. But it's going to be with us for a while and I'm not sure what can be done about it.

You know, the one really interesting dynamic domain is chaotic, which is a subdomain of the deterministic! I figure free will is a chaotic phenomenon.

Groundhog day is your intuition pump here. Go back in time and most assume that the day will go mostly the same, except for the butterfly effect if you change something. Given exactly the same conditions (we went back in time, so that's pretty exact), people will make the same decisions.

Most people don't assume that the day will be completely different the next time loop. The town won't suddenly spontaneously all start breakdancing or standing on their heads.

(Edit: The murderer is the one who -given the same/similar conditions- will murder again. I'd politely suggest maybe we put them behind bars as a precaution against that; until/unless they learn to act differently. )

(Edit 2: Throw in stochasticity and this actually tends to smooth out chaotic systems. This is counter-intuitive! People's brains break on Evolution in the same way. Meanwhile somehow folks intuit birdshot without difficulty; which is weird!)

I think this debate is rooted in our instinctual beliefs about fairness. An organism in a social group needs to decide how to react to the brutish behavior of its peers. And so Mother Nature has encoded a good strategy in our brains. (For example, dogs seem to understand fairness.)

But this only means the strategy is practical - it doesn't mean it's consistent. I think "responsibility" falls into this category. So we have strong intuitions about it that don't quite logically work. And this is where free will and determinism and choice and punishment all crash together.