People of the moslem faith are moslems, people who believe in the divinity of jesus are christians, and if they commit acts of violence targeting civilians to achieve political ends, they are terrorists.

Although only a teeny tiny minuscule fraction of moslems are terrorists, the large majority of terrorists by now are moslem (since ETA and the IRA gave it up).

I am not sure which video is referred to in The people who burned the pilot to death in the gruesome video, must surely be "terrorists"? but no, that's just it, it isn't the gruesomeness that makes something terrorism; if the target is military, the term is not appropriate.