Actually, the U.S. and Canada have never fought a war aganst each other. Canada didn't exist as a country until 1867. Any conflicts that did occur were against the British in British territories, or other powers, but not Canada. The U.S. and Canada have been either allies or friends for most of the life of Canada. Also, some of the wars you described were not fought by America, either, since the U.S.A. did not come into existence until 1776. Those wars were fought in colonial North America by European powers.
As I mentioned in my post, We were English and Canada was French during our first four wars with each other. During the last two wars, we were independent as of 1776, and they had become English as of 1763.