By the way, is it heresy to say that Muslims and Christians DO NOT have the same god?
The real question to ask here is: Is it heresy to say that Muslims claim to worship the same God as us?
Evasion is the only play you have when the truth is not on your side. Your "church" teaches that Muslims and Christians worship the same god. If this does not ring alarm bells for you, then you are not of the Truth.