Not trying to start a debate, but a few things should be made clear:
 
1. Muslims do not worship the same God as Christians do. That's a very common misconception, but it's not true. Islam says God doesn't live in Heaven but exists everywhere at once and has no form, man wasn't made in His likeness, we should 'submit' to God rather than love Him, that Heaven is attained through works rather than faith, and that sins are paid for by punishment and even temporary time in Hell. Islam STEMMED from the same roots as Christianity, but they don't believe the same things about God at all.
 
2. Jews do worship the same God as Christians do. You can argue that "they don't believe Jesus is the Messiah, and Jesus is God, so therefore it isn't the same God", etc etc etc, but they worship the God of the OT, and that's the same God we worship. They're blinded to the truth of Jesus, yes, but they do worship our God and vice versa. 
 
I guess this topic could really turn into a whole other thread. Or multiple threads even.