They don't represent the religion even if they claim to. They are brainwashed and/or just want to cause chaos.
Would it embarrass you if you were in a group of Rockets fans and some members of the group go out and spit on Jazz fans and beat them up? Of course they don't represent all Rockets fans - but would you be embarrassed anyway?
You think it wouldn't reflect on the whole if the Red Rowdies were to throw things at opposing players? You are the one who doesn't get it.
No. You can justify your hatred for Islam and Muslims but you're a bigot and a detriment to humanity.