Actually, they'll still declare war on you if you are allies. There are just some regions that certain factions take offense to other people owning. France will always attack anyone who owns Alsace-Lorraine. Spain will always attack whoever owns Gibraltar. And so on.
The AI also does not declare war more on the player than on other AI factions. Just look at the diplomacy window; most major factions are at war with more factions than you I wager.
The American Indians do attack British, Spanish, and Americans, but do not seem to attack the French. That makes sense historically, I guess. I do see a big Cherokee empire every once in awhile.
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