It depends on the ultimate source of "will"
Which, as things stand, look to be biological: it's what brains do.
If our will is defined by uncontrollable material reactions, we obviously would have no choice.
Correct, even if you don't like it.
Do we have a choice about what to put our faith in?
Why do you need' faith' when you have a credible naturalistic explanation for mental processes? Looks like you're contriving a hook to hang your 'God' on.
We can put our faith in the ability of material reactions to define every "choice" we make.
Yes, and again 'faith' is an inappropriate term for you to use since, for you, it is code for 'God'. Having reasonable confidence in well-attested knowledge would be a better viewpoint to hold.
Or we can believe in the freedom which allows us to exercise our gift of faith.
No, because that is flagrant theobollocks.