What you say about the SA and SS is true -- I didn't know about the Jesuit influence -- but the doctrine was nothing the Jesuits would sign off on. Himmler was an odd duck, and although he insisted that all SS men be "gottglaeubig", vis, "believers in God," it was actually up in the air what god he was talking about. The spooky midnight solemnities at the tomb of Friedrich Barbarossa, the SS-Ahnenerben mumbo-jumbo about Bronze Age Aryans mixed in with medieval chivalry -- men in 13th-century armor decorated with Indo-Aryan swastikas -- made it more than a little doubtful whether he was talking about the God of Abraham.
In practice, Nazism was hostile to real Christianity, even as it battened on Christian virtues and civilization, and if you ever visited europa.com, a neo-Nazi site, you'd see that expressions of waspish hostility toward Christian symbols are common.
It was definitely NOT the God of Abraham the Nazis worshipped. The upper echelons of the Party and the SS were deep into the Occult which was where their Secret Doctrine came from. They hated Christianity and its God of Love and would have wiped it out if victorious.
No the Jesuits would not have accepted the ideology at all it was strictly in an organizational sense that the SS modelled itself on the Order. And the elite nature of it.