Here's the thing. I'm 1/8th Cherokee and I don't get offended easily. So Braves, Indians, Chiefs, Redskins, etc doesn't offend me.
But, other than the Fighting Irish(and the Irish probably aren't offended by that either because they like to drink and fight), how many team names refer to a specific race? Most choose animals(Panthers, Rams, Seahawks, etc) or groups of people who could be from any race(Minutemen, Volunteers, Cowboys, etc).
And, before the Irish get all pissy, I'm either a quarter or an eight Irish.