> could you still hold people responsible for their actions?
Surely this is trivially "yes". If their actions are deterministic, then your responses to their actions must also be deterministic, including holding them responsible (punishment, firing, etc).
Even stronger if you believe things are deterministic there is no reason not to hold them accountable. You don't try to argue with a broken clock for it to become more punctual, you just trash it.
If you have a mechanistic view of humans, you know that punishment can cause changes in behavior, so you would use punishment to cause the changes that you would like to see. Punishment is fully compatible with determinism.
Surely this is trivially "yes". If their actions are deterministic, then your responses to their actions must also be deterministic, including holding them responsible (punishment, firing, etc).