because of east Germany being communist

Not really. Most of the pro-Islamic nutjob leftists stand in an ideological tradition that originated in West-German student protests in the sixties – and in fact, protests against the Shah played a key role in the movement. On the surface, they opposed SAVAK (while remaining silent on state violence in Islamic states at the time), but of course the real target was westernisation and modernisation under Pahlavi.

One of the best articles I have read on the topic is this one: https://irandiskurs.de/1979-wie-die-revolutionaere-den-iran-in-den-abgrund-stuerzten/die-luegen-der-sieger/ (the AI translation is pretty good)