I think the other lesson we could draw from America is that we shouldn't let everyone in, they'll kill us, take our place and feel bad about it a few hundred years later... maybe.
Don't forget the small detail you're neglecting to mention: That over 90% of their population had already been wiped out by disease over the last few hundred years prior to large-scale European expansion in the Americas. (And it was not intentional! The whole "small pox blankets" thing was in the 1700s, well after most of the deaths had occurred!)
Adding that detail, the situations are a bit more apples-to-oranges.
The circumstances are obviously different, and the sarcasm was my point too: the situation then isn’t the situation now, you can’t possibly hope to compare American history to contemporary Swedish reality. It’s like comparing, as you said: Apples to Oranges.
Adding that detail, the situations are a bit more apples-to-oranges.