They could do a highly symbolic and possibly disastrous thing that will let them claim they have achieved their goal (granted they’ve stated 30 different ones) and retreat with face.
Could be the uranium (very hard ask). Could be kidnapping some high ranking Iranian leader figure(s) to "face trial" in the US which they'd parade around to the media like Maduro.
Iran may or may not need some sort of line of sight spotters or nearby surface radar or sensing to police the strait. They don't have aircraft to police the strait. Even with some Chinese and Russian help I'm not sure they have anything approaching reliable real-time satellite coverage capable of picking out ships moving and reacting in a way that allows them to use that data for reliable targeting with drones and/or missiles.
If it is the case they rely on some sort of nearby sensing and can't make up for it with distant launched (from inland) drones then the US taking the right islands and doing some bombing could in theory open up the strait for a bit. Lots of US soldiers would be getting injured and/or killed if they try to hold it but on the other hand if they drop in, destroy all the bases and sensing equipment, kill all the Iranians they can find. Thoroughly blow up power, supply depots, tech, etc. And then they leave and patrol that area from the air with drones to prevent Iranians re-establishing with the equipment necessary for sensing they could in theory strike a blow to Iran's ability to police the strait.
Of course Iran has its own counter if it mines the main strait and forces ships to divert near their islands they should still be able to police traffic somewhat. But maybe the US thinks they can demine it and just have some stop and go before Iran is left without any leverage. I don't know. Just speculating without a ton of necessarily knowledge here.