On a strictly personal level, extremely devout Muslims have generally been far more open to me and my sexuality than equally as devout Christians, if such a comparison can be made.
Do you think that comes from the shared experience of being a minority? I can’t imagine that the average Muslim in a Muslim-majority country is less homophobic than the average Christian in a Christian-majority country.
It's not really about an 'average'. The 'average' Muslim is still quite seriously devout, so it's based on a comparison to similar levels of devotion in Christians, which in Scotland, is a small pool.
Muslims tend not to take on what I tell them about my sexuality as their own business. There's less of a need to performatively 'judge' in my presence. And there's a curious amount of understanding that while not verging on agreement, is fairly accommodating.
The "average" Muslim in Scotland probably is still nowhere near as "devout" as the "average" Muslim in, say, Iran or Saudi Arabia. Go to one of those countries and talk about your sexuality, then see what happens. Then (if somehow you are still alive) try the same thing in the Vatican (I believe the only Christian theocracy left in the world). Then compare.
Also never heard of Christians performing
honor killings even in Western countries, including the UK so...
Also there's the fact that Jesus was a pacifist with a radical message of peace, love, and tolerance whereas Muhammad was a violent genocidal child rapist. Kinda hard not to see the differences in how "progressive" the religions would be from the very start.