Oh, yes, very true. But it is very much an alliance of convenience. Their world-views are fundamentally different. I wonder what would happen if ISIS got its hands on, say, an American or European nazi who refused to convert to islam.
But I suppose it's just a distinction without much of a difference. Monsters they all are.
Nazism (aka National Socialism) is another form of collectivism that is down with the struggle to force man to submit to to the group.
Islam is collectivism masquerading as a religion that is down with the jihad to force others to submit to the will of the umma (community, also known as Allah).