> the price to secure the straight military might look comparatively lower.
The price to secure the straight militarily is a full ground invasion of Iran.
This would be done against a country four times bigger (in population and size) than Iraq, with the kind of terrain that makes Afghanistan look easily accessible, done without the help of a coalition of fools, because this isn't 2003, and nobody in Europe is very eager to send their kids to die for a war that Trump's ego started. His 2025 attempts to 'ingrate' himself with Europe are paying dividends now.
Also, if you think the war is unpopular now (nobody but the 40% of the country that's MAGA-brained supports it - and those guys will support anything), imagine what the popularity would be like with a full mobilization and invasion.
The GOPniks aren't that eager to become a 31-seat party this November.
... and if Iran keeps raising it will eventually become the only choice available, at which point we'll do it (and can I just say the truly horrible part: ... which was going to happen at some point anyway with the islamists in power)