Agreed. I don't think anybody is unaware of this.
Also agreed. I just don't think anybody is blind to the fact that the islamist terrorists are muslims. If we are to divide and conquer (an old and proven strategy) . . . and if we expect to have muslims with us in this fight, which is essential, we have to target the terrorists ruthlessly while maintaining basic respect for the religion of our allies.
The propaganda war is this:
ISLAMISTS: America is at war with Islam. All muslims must join the fight against them.
USA: America is at war with Middle Eastern terrorists who attack us, not with their religion. Many righteous muslims are with us in this fight.
Clearly, Obama needs to be promoting American foreign policy interests here, and he is.