Depends on what the consequences are. Social alienation? Sure. Government intervention? Absolutely not.
For example, getting a college acceptance rescinded because of a racist statement.
If it's an institution that takes government money, it has no business going something like that.
Why?
What's the difference between not accepting someone for being a racist and rescinding an acceptance for being racist?
Well, the first is a lot more difficult to prove than the second, for starters.
Is it? It seems like the only difference is the time when their racism was discovered.
If someone is rejected from a school, they have no way of knowing why. 99.9% of the time it is because of a problem with their application. However, if someone is accepted at a school and then later receives a letter rescinding that acceptance, they must receive an explanation for why this happened.
So why is it problematic to rescind a bigoted student’s acceptance?
Why should the government be allowed to deny a service to someone just because they don't like their views? Can the city cut off your gas and water supply if they decide they don't agree with your position on abortion?
Universities that receive public funding are not "the government".
Also, what are you talking about? By this logic, we shouldn't be able to fire cops who are KKK members because "that would be not liking their views".