The AfD may not be literally a fascist party, but it does have a prominent right-wing extremist faction that includes several of its most widely known members such as this man: https://en.wikipedia.org/wiki/Bj%C3%B6rn_H%C3%B6cke

I think arguing about the accuracy of labels like "nazi" or "fascist" is a bit beside the point. You and I both know the people calling the AfD fascist or nazi won't suddenly like it better if you can convince them they don't meet the exact definition of fascism or are identical to the historical National Socialist Democratic Workers Party. It's clearly more about a vibe, but that is also true for the AfD's own political ideology (and yours, apparently, if you think "identity kamikaze" is 1) a thing that is happening and 2) something to be seriously concerned about). Incidentally the NSDAP also had different factions including Strasserites, who imagined a more proletarian-led economy and people who thought having homosexuals like Röhm around was acceptable, at least for utilitarian purposes. Incidentally, most of those were murdered by the rest once the NSDAP actually got into power. Such is the reward for being progressive in the far-right.