always did that in old colonization. Well, almost anyway... and neither did any conversions, so absolutely none if the redskins were saved from my wrath.
Always kicked out the other euros repeatedly aswell.. kinda fun to sink their last ship while doing that

Oh and naturally a bunch of those uberforts that sink ships that got too close, great fun to close off the whole caribean..
Anyway.. usually some faraway tribes did survive, just because they were on the other side of the map, but sometimes if they killed some units of mine i could chase them down in righteous fury