Honestly, in today's society, anything that a white male does is racist or sexist. Political correctness is ridiculous.
The Indiana Jones movies aren't really racist, but most any millennial will find a way to argue. All I know is that when Indiana Jones 5 hits the theaters, I do not want it to be a politically correct Indiana Jones. I want to see Indy shooting bad guys and globetrotting to find a supernatural relic, not making a political statement.
What makes Indiana Jones so great is that it's gritty. It needs to stay that way for the fifth installment.