They most likely wouldn't because they would need to get permission from those countries, which likely wouldn't happen. For instance, in 2003 the US wanted to invade Iraq from Turkey (as well as from the south) but had to stand down on their northern ground invasion plans when the Turkish parliament voted to deny the request (they lost by a single vote), which resulted in no use of Turkish territory for the early part of the ground war. Similar agreements would need to come from the likes of Bahrain, Qatar, and UAE where the US has bases. Those countries would probably not allow it, which means they would use strategic bombers from Diego Garcia, carrier strike groups from the Arabian sea, subs from the Persian Gulf and Gulf of Oman, and so on.