Do you think it's okay that I take issue with my boyfriend's family being racist toward me
Why are you tackling this now?
Because he just found out they're being racist.
Them expressing racist sentiments around you is unacceptable. It's good you're confronting this, although you might want to have your boyfriend try talking to them first.
My boyfriend is too shy to tell his family. I'm going to talk to them.
You're definitely right in wanting to talk about the problem with them, but reconsider asking your boyfriend to approach them first. They'll likely to take it better from him where they might get defensive with you.