Short answer: No, don't say anything.
Long answer: You say you'd like to "express some form of support for him and his family in light of what the current US president-elect has said regarding his religion and Muslim Americans," which is all well and good in theory, but has a number of drawbacks in real life.
The biggest is that it could easily sound like you think he's afraid, which would be condescending and insulting, unless he's said something to this effect himself. In general, your boss does not look to you for political and emotional support. It's a nice idea, but it just doesn't work in the context of a boss-employee relationship, especially one where you "know very little about his personal life." It's also possible (though less likely) that he would get miffed because he in fact supports Trump himself.
It's good that you want to support your boss, though, and there are ways to do that. Socially/personally, you should intervene if you witness anti-Muslim harassment against him or anyone else. Remember, you can Distract or Delegate as well as intervening Directly! Politically, support the myriad institutions and organizations that would fiercely oppose any attempt to round up or register Muslims, like the Becket Fund.