I don't see why one has to have a physical hypothesis for how free will could ohysicaly work to believe in it. I suspect my experience of mind is physical because everything else is physical. The quantum thing is tenuous, but I see need to hang on to it. Rather I just think something far outside our modern scientific comprehension goes on. My evidence for this is simple: I have direct experience of it.
This isn't some crazy-eyed zealot invoking the invisible spirits. This is a rational person observing the world he inhabits.
One last argument for free will. There are 4 outcomes:
1a: you believe in free will, and it exists
1b: you don't believe in free will, and it exists
2a: you believe in free will and it doesn't exist
2b: you don't believe in free will and it doesn't exist
Options 2a and 2b can be thrown out because they don't matter - if we don't have the choice to make anyway, the discussion is over. And 1b is a tragic outcome, which men like Dawkins are victims of.
Another way of understating this connects to what you said Damian. You said you don't see how purpose and meaning tie into free will. In fact they are inextricably linked. With free will, there is meaning, without, there is none.
Why? Without free will, everything has already happened. The show is over. There is nothing you can do about anything one way or another. You don't exist. You're a rock smashing into Titan 50 million years ago - an automatic process.
The ability to value and give meaning to things comes from humankind, and it comes from us because we are free agents. With free will comes imperative to act, comes responsibility. Without free will there is no responsibility, one had no choice.
With free will we can influence the world even as the world influences us, and therefore must do so for the better - this is meaning and value.
Ethics is tied up in the idea of value, purpose, and meaning.
Without free will there is indeed no ethics. Or none that can be justified anyway. And what would be the point of justifying them? No one can be convinced one way or another because no one has an actual choice to make, neither do you have a choice whether to justify it.
Without free will there is no purpose or meaning to life. Hence why materialists are so often nihilists outright, and, at least as often, keep at bay as a kin of demon at the door.
Sadly, people literally kill themselves because they see no purpose to their life. This is a state of affairs I would rather avoid. Elsewhere I've written:
"I call it wiser to embrace the ancient, if unfashionable counsel that we humans are creatures of meaning. All is vanity, perhaps, is simple and unpretentious fulfillment can be rightly called vain."