They can win just as so many others have in the past - outlasting the resolve of the U.S. I think that the best that can be hoped for here (from the U.S. perspective) is to diminish the Houthi's capacity to launch missiles and drones until Israel has finished whatever it is they are trying to accomplish in Gaza.
I don't think they will be able to sate their anger because the killing amplifies it.
Civilian ships can be surprisingly resilient. Many oil tankers survived hits from the same missiles that crippled the USS Stark.