Since the U.S. knew that Iran was 100% going to close Hormuz since Jimmy Carter, who also refrained from taking Kharg island precisely for that reason, the second order effects appear to be desired.
Otherwise they'd impeach Trump by now. Even if they make a 2 month ceasefire deal now, it will start again after that.
From the point of view of the people who would actually do it, the most important effect of impeaching Trump would be a messy political fight and likely losing reelection in November. The most important effect of not impeaching him is they get to stay in office. Everything else is unimportant by comparison.
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The U.S. should form a coalition with the neighboring countries and "finish the job" once and for all. Negotiations with Iran will always amount to kicking the can down the road.