Is Christian heaven the same as Muslim heaven?

It depends how you look at it. If you believe there is a different heaven for each religion the No. If you believe in the absoluteness of one religion then Yes and No depending on the Religion and standpoint. Some Muslims believe some Christians will go to heaven and some Christians believe some Muslims will go to heaven, in which case the answer would be Yes. But many from these two faiths believe the others are destined to burn for eternity in Hell, therefore No.