I really wanted to like Shaw the person when he was drafted. He said all the right things. But he is a douchebag's douchebag. Be that as it may, he's a useful baseball player who will likely get better. The Cubs have a perfect "waves" scenario with him and Nico. There is no reason to trade him or Nico. Let the season play out, give him reps, and see what happens. If they find they need someone at the deadline, he or Nico could be traded. But it would be foolish to trade either one right now.
As long as nobody else he idolizes who is also a neo-Nazi gets shot, we will be good.