Of course Iran might test the resolve of the US but they will backpedal before actual conflict. We aren't the EU, we might actually do something.
I can't see why either country would actually want this to escalate to conflict, Iranian leaders have everything to lose and any sort of occupation or invasion (beyond launching missiles from the gulf) would be widely unpopular in the US at a very uncertain time when alternative candidates like Trump and Sanders are actually a part of the discussion in even the biggest elections we have.
likely the US will just park aircraft carriers out there as a message that something with the firepower to destroy your airforce and basically take over your country is just sitting right there if you try something. Maybe Iran, angry over the strong sanctions against them and the end of the nuclear deal, decided to roll the dice and test what we would do.