"The reason people believe he should give up his business is because there is a conflict of interest. He does business in countries where many of the corporations his company could deal with are owned or operated by the government at least in part. You can't be sure he is making a decision that is best for the people of the US if he stands to personally gain from it."

Are you aware that all profits from his foreign holdings are going to the federal treasury?

If not, rethink.