> As for controlling Hormuz, the US military absolutely could control Hormuz
I don't see how they could manage that without a full-scale invasion and control of Iran. It's far too easy for Iran to launch drones/torpedoes from small watercraft or from nearby land. I expect they could control Hormuz for a while, but it would be very expensive and I'd expect the logistics to break down fairly quickly if the economics doesn't stop it first.
"I don't see how they could manage that without a full-scale invasion and control of Iran" - that's precisely what they're saying, and that the domestic populace wouldn't put up with it.
I suppose "could" here is a bit of a stretch. Like technically, yes, you could if you whipped up your country into enough of a frenzy to support it. Hell, Iraq happened (twice), so I suppose it has historical precedent. And yes, a full-scale invasion of a fully committed US military should absolutely be able to conquer and hold Iran. But I can't imagine any circumstance where that's possibly going to happen in today's reality (outside of an Iranian terrorist event on USA soil, for instance).