In conventional usage a Scot is someone who comes from Scotland. That's the definition that is in the dictionary and it's the one that the vast majority of people are happy with. How Americans choose to see themselves is up to them - I would see them as American although I suppose if their parents were both Scottish I would accept it if they termed themselves as being Scots.
"Our scientific power has outrun our spiritual power. We have guided missiles and misguided men."
- Martin Luther King Jr.