Christian prophecy also has the 7 year leader - the Antichrist. In our book he is destroyed at Christs return - 7 years after he arises, and there will be peace on earth for 1,000 years.
Islamic prophecy comes to an end at 7 years. There is no more. Muslims do have a lot to do with the Antichrist. They will be part of his army, but many other faiths will also join them from around the world - even the Jews. "I sent you a king, and you rejected him. Along comes another, and it is he you accept." Everyone but Christians and some of the Jewish that have not been decieved, will follow the beast.
Wherever the Antichrist is, he will be able to deceive a lot more than the Muslims.