The "left," is a truly nebulous concept if you observe leftist discourse online, where circular firing squads are writ large.

I think you are conflating the left's support for minority groups who are demonized and targeted by society for support of the tenets of their respective religions. After 9/11, Muslims were a significant target of hatred and violence. The left, which again is not a monolithic entity, doesn't support islam anymore than it supports judaism or any other religion, it supports people who happen to follow that religion. It's based around humanist tendencies, which the right often doesn't understand. You can hate aspects of a religion while also being against any dehumanization and hatred against people who follow said religion.

Like the other 2 major Abrahamic religions, Islam has some good and some bad tenets. At least in the US, there are some extremely conservative muslims and some - perhaps shockingly - liberal muslims. Being that they are such a small percentage of the US population, there is a lot of misunderstanding and stereotyping of people who follow Islam.

I'm a person that isn't active on Twitter, Facebook, Instagram, etc. so I don't see the crazy fringe stuff (usually). For what it's worth, it doesn't seem that the mainstream left (or Democrats, or whatever the term I'm looking for is) really supports or opposes religion in general. They seem to support the person in a "Muslim people are not bad or dangerous" way but don't address the religion. I do see the mainstream right (again, don't know the correct term) support Christianity and oppose both Muslims and Islam itself.

I'm not trying to give an opinion, just stating what I see as a person who doesn't interact with the online political sphere at all.

I'm kinda of undecided on Islam, fwiw. A bit above my pay grade, as i'm rather unsure how we objectively classify religion. There's plenty of Christian sects in the US that actively fight against gay rights/etc here too (though obviously to a far lesser degree in the common case), so it feels like we need some way to classify specific doctrine.

With my own lack of doctrine classification i am unsure how to view them. So i tend not to take a stance on it, just like i don't with Christianity.

I'm not sure what support you think the left commonly believes in for Islam. Everyone i know is not a fan of most religions, Christianity included. I view self rights far more important, and many religions or denominations directly challenge that.

Do you believe most leftists are campaigning for Islamic support? This has not been my experience.

Islam: famous left-wing religion.

Christianity: notoriously tolerant of minorities, supportive of the equality of women, and gay friendly.