You see to me, that and indeed, any form of this compatibilism, that gets trotted out by some atheists at such times reads like woo and cognitive dissonance. What is 'free' in a deterministic system?
Do you doubt that you have the ability to think through problems and decide a course of actions and that said actions will form part of the future? That is, that your deliberations will be significant in future events?
Granted, all that has to work some how and from the unattainable point of view of an all knowing god, your thoughts emerge from the predicable (with possibly some random bits) most basic stuff of the universe but that doesn't actually make any practical difference to you and me who have decisions to make.
What is a truly free choice anyway? I would suggest one in which I act in accordance with who I am; my beliefs and values, my knowledge and experience. None of that is threatened by determinism. In fact, how would that even work in its absence?