Do you think Scottish people come to the States to do Outlander tours the way Americans come here?
Not that I'm aware of. Perhaps North Carolina tourism authorities should be on the lookout for opportunities. 
Of course, one of the largest highland gatherings in the world is held at Grandfather Mountain in North Carolina. I think it may have given DH the idea for the gathering in Drums of Autumn. And all over coastal North Carolina there are still strong Scottish associations and place names, including a Scotland County.
I belong to a Scottish-American society in my city, and there are a few actual Scots (as opposed to the rest of us who are American descendants of Scots.) Everyone is interested in Outlander.
As I said, it has been a few years since I read the earlier books, and I have forgotten a lot, but one of the things I do remember is that DG got a lot right about the Scottish settlers in NC.
One thing though that the books (as I recall) and the series gloss over though is that Culloden was not the Scots and the English fighting; it was the Jacobites and the government. Most of the highland Scots who settled in North Carolina were Presbyterian so very likely not Jacobites, who were for the most part Catholic and Episcopalian. And a little known fact about American history is that quite a few of those Presbyterian settlers were loyalists, or at least neutral, in the American Revolution. Their allegiance to the British government continued to the new world.