It's not just America - see the responses after Brexit as well. The major claim seems to be that most people are just not intelligent enough to have voted correctly.
Still, "they regret it already" was the message spreading throughout Europe for a while. I recently saw some research stating that a very small percentage had changed their mind about the vote, and they came more or less equally from both sides. So no, no significant regret noticed.
Not sure why I'm writing this. It just seems that the people seeming to vote rationally are completely irrational when it comes to judging the other side. Did we collectively lose the skill of empathy?
We need to understand this or we'll be repeating these mistakes forever.