RE: Moral thinking is logic and reason in high gear!
I like your thinking.
I view the paradoxical relationship of moral thinking and virtue as a chicken and egg problem. Most don't realize that there is an answer to the proverbial question; which is the chicken engenders the egg. Likewise moral thinking brings about virtue. After all, proper conduct does not cause you to think rightly, just as an egg does not guarantee a chicken.
The same habit of the virtuous man performed by the un-virtuous man may have the likeness but it is not a virtue. It grows to become a virtue if the man develops the habit out of a sense of morality.
At what point then does the habit become a virtue? I heard a philosophy professor once explain this through the all-American principle fake-it-'til-you-make-it. When you no longer need to consciously think morally about the habit you're developing, when it becomes second nature as an artificial instinct, then it is a virtue - it becomes a part of your nature, you become virtuous.
What this says for moral thinking is that it is not enough to think rightly to be virtuous. You must act rightly for the right reasons but without thinking of them.
When the process of self examination and change for the examiners better becomes a motor reflex do to the repeated use, which creates the neural pathways, which then creates the physical network needful for producing motor reflexes, than yes doing right thinking is no longer work, but bread for action.