Or, simply confronting violence against gays includes Islam-related violence against gays. I'm simply not excluding other violence against gays from my outrage.
Rather than saying "Islam is bad", it might be better to say "I don't like X about Islam because Y." If you are more specific and give a reason, it's easier for people to hear you. But yes, taking the person out of it does make it easier for people to hear you as well.
I'm more calling into question the feasibility of accurately surveying billions of Muslims worldwide, especially in authoritarian countries where people might not feel free to be honest, or in war torn countries where access is dangerous or impossible. In any event, do you have a citation for this global survey?
I think you make the world better by calling out the problem exactly as you mentioned.
But I would advocate focusing on the problem. I can't think of any human behavior that is universally contained and ubiquitous within a single race or religion. Even if you take the most sensational elements of Islam like stoning someone to death, very few Muslim countries practice that, so it's not ubiquitous. Or, if you call out something so common world-wide as anti-gay laws or behavior, it seems like you're consciously ignoring the billions of non-Muslims who live in governments or follow religions with active discrimination based on sexual orientation.
Religions are so broad and open to interpretation that it's probably statistically impossible not to find anything you agree with (or disagree with) in a major religion. Instead, it sounds like there are specific human behaviors that don't sit well with you and that's totally understandable.
I wouldn't hesitate to 'Nazism is bad' or 'Communism is bad' or 'Fascism is bad' - and saying 'I don't like X about fascism' doesn't really make the same point.
You can say those things, but if I feel judged I know it's hard for me to really hear the person who's judging me. I guess it depends on your goal. If you want to make people who agree with you feel comfortable, maybe judgements would serve that purpose. But if you want people to change their behavior, I'm not sure I've seen blanket judgements like that have success.