Yes, in principle, this (limited ground invasion to protect the straight) can be done. The cost - both in lives, money and political capital - will be enormous.

One comment though.

> The small dones can't get very far and the US is exceptional at electronic warfare.

There is currently one county in the world which is exceptional in electronic warfare against drones - Ukraine. Then there is Russia. Everybody else is leagues behind, including US. Without real combat experience and proven technologies ready for deployment all your money and fancy equipment are worth nothing. THAADs have the most advanced radars, did it help them in UAE recently?

In Ukraine they basically had to build a network of mini-factories with 3d printers and ad-hoc repurpose of old weapons right behind the front lines. This is to be able to counter Russian drones by enabling fast iteration on EW. US has nothing like that in current doctrine and it’s not clear if this can even be deployed in an expeditionary corps model.

I’m not saying of course that it’s impossible for US to open the straight by military means or to defeat IRGC otherwise, it’s just that it’s a very hard task which got even harder after advancement in drones.