Destroying the gulf states would dramatically reduce the importance of the Strait, which would make mining it or otherwise shutting it down somewhat pointless anyway. It is a bit of mutually assured destruction, but the USA is probably in the best position of anyone to weather that storm.

I suppose it is more powerful in an absolute sense than just temporarily shutting down the Strait, but like Russia's nukes, I think the threat is more useful than the play itself. Unless they are just looking to take others down with them.