Numbers are the single most redundant factor when trying to balance weapons. You can't assume that an smg player will hit 100% of his bullets when he engages with a carbine. I didn't read anything else you wrote about the theoretically quickest possible time to kill in ms, simply because it's all theoretical and has little to no relevance in practical application.
Waffles and Marti [EDIT: and Honor, read below] are also correct.
Waffles and Marti [EDIT: and Honor, read below] are also correct.