Allah and Christian God are the same. Rest of the religions also believe in God. God, Allah, Baghwan whatever you name it is the same.

There is no debate in God for all the religions. Debate is on the supremacy of Allah. Allah in Sura Ikhlas in Quran clearly introduced Himself by saying that He is Only One, no one shares His ultimate Powers. Neither He is born to someone, nor He has given birth to anyone. Neither He sleeps or tires. He would exist when noone exists anymore. He has existed before and ever existence is for Him. He is the Almighty and everything in this Universe belongs to Him.