Democracy in the middle-east does not result in Israel or US aligned governments, but the monarchies have proven more interested in preserving their autocratic dynasties and quite easy and eager to work with Israel and the US to preserve themselves.
They replaced the last democratic choice in Egypt with another military dictator, they keep the widely unpopular autocrat in Jordan on his throne with military and intelligence subsidies, have established and propped up a network of autocratic Gulf states that toe the line...
So yeah, I would not be surprised that Israel and the US would be more than happy to but a scion of the previous Iranian autocratic dynasty back on the throne there.
Anyway, democracy is not a binary. You'd be unlikely to call ancient Athens a democracy by modern standards and yet...