They're outlawed. But I really don't think we'd respond like that.
It'd depend alot on what got into Bush's head. The Coalition was kept together because the whole aim of Desert Storm was to get the Iraqi Army out of Kuwait. Sure, we were also aiming to destroy the Republican Guard so a later uprising could go against Saddam, but the Arab Corps was on board because of the promise not to drive to Baghdad.
And before anyone counts the Arab Corps out, remember that they were basically the other half of the two corps punch that hit the Kuwaiti border head on from the south (the other corps being the Marine Corps farther in on the coast).
These aren't exactly the kind of troops you'd want dropping out.
Especially if the Bush, Sr. Administration let it slip too early that this was their plan. The Egyptians and Jordanians who were providing the bulk of the trained Arab firepower probably would've told the Western powers to screw off, and with good reason.
But is it possible to have a successful drive to Baghdad regardless?