Bush is a CRINO (Christian in name only).
He has no idea who Christ really is. (judging by his public statements anyway) No Evangelical Christian thinks Allah and God are one and the same. Allah is one of the fallen angels.
Actually, Al-lah is the pagan moon god / cult that occupied Mecca prior to Mohamed’s recorded fantasy. But your point is taken, both the Jews and Christians in Arabia at that time knew that Mohamed’s lies about being the same god were just that ... lies.