Depends on the stakes. But even if we don't get involved Saudi Arabia certainly would in that scenario, and I wouldn't discount their military capabilities in their own back yard. And don't forget Israel also has a port on the Red Sea.
“But even if we don’t get involved Saudi Arabia certainly would in that scenario, and I wouldn’t discount their military capabilities in their own back yard. “
I see the Saudi military as largely decorative. It looks impressive on paper, but I suspect the House of Saud’s control would come apart if the country was under any pressure. They’ve managed to dampen down threats to the royal family’s controls so far, but it’s like holding a beach ball under water. Eventually you can’t do it any longer. Iran understands the pressure points and Saudi Arabia could erupt into the biggest yet “Arab Spring.”