In League of Legends when you play "Co-op vs. Al" do your minion and Champion kills get added to your overall total on your profile?
If by overall total, you mean this screen:
Then the answer is no. These only track the total in Normal games (PvP).
There is currently no tracking Co-op vs. AI kills/Wins in your profile stats, and I can't find anything from Riot saying that they plan to include this feature. It would be nice though.
(These stats are from someone who's been playing since closed beta. I used them because mine are so embarrassing)