How Do I Deal with People Who Believe Our Religion is Homophobic?

Salam brothers and sisters I hope you're doing well. I've seen posts from people who are part of the LGBTQ+ community talking about how Islam is a homophobic religion and so is the Quran as they take our beliefs as offense because one of them said "your religion is calling me sinner" and they complain that Muslims and Christians are "homophobic" as we only respect lgbtq+ but don't support them. They think that by not supporting them we're saying they "don't deserve basic human rights" I've heard my parents' advice to just stay quiet but what I want is to stand up for myself and others who are being remotely harassed and being called homophobic because I'm seeing theophobia occurring to Muslims, Christians or anyone with religious faith more than any actual homophobia. So I wanted to ask how can I make others aware that I'm not trying to be hateful or homophobic while explaining that our religion is not meant to offend them? Because if I explain, they might likely say "you're using religion to backup your statement" and I don't want to just simply stay silent. I want to actually stand up and explain to them but without sounding mean or dismissive. I don't know what to say. I also feel that they're victimizing themselves because they believe some of us aren't "admitting" to being homophobic when we're not and using our religion as an "excuse" to "tolerate" them. While they demand respect, they're also disrespecting religious people by saying we're "allowed" to hate religion but we "can't" hate someone's sexuality and how being queer is a "choice" and religion "isn't a choice" I know that by asking questions about someone's religion is not at all criticising, but calling someone's religion "homophobic" isn't right.