I don't use that term because many modern Pagans are atheists who believe gods are Jungian symbolism and I don't believe that.
Yes, they certainly believe in the Hebrew Bible but I don't know what Muhammad or any of the hadiths said on homosexuality, if anything and how those are properly interpreted. If it's only OT stuff that makes Muslims homophobic, then the same misinterpretations of stuff like the story of Sodom and Gomorrah apply.
All gods are cool but I'm less well versed on British Isles than Continental Celtic Gods so I don't have any particular commentary on this one. I know the Irish God Lugh is directly descended from the Gaulish God Lugus and Rhiannon is similar to Epona.
And finally I find another person who gets what the story of Sodom is really about. It's definitely relevant to the story of whether you can be homosexual and Muslim if people are going off OT literature to justify that. What you say is rational, that Sunni probably don't tolerate it but Shia do, to various degrees of course. Though I personally dislike the forced sex changes in Iran.