No.
You cannot assume that every follower of any faith adopts the same behaviour in its name.
If you did that, you would assume that all Christians think that God hates homosexuals, and soldiers deserve to die, because the Westboro Baptist Church says so.
All Germans are not Nazis, all Japanese are not Kamikazi pilots.
People are individuals, if you lump them together, then you risk underlining the attitude of the terrorists - that all Westerners are infidels and deserve to die.