Aren't there relatively many Bosnian and Albanian Muslims in Switzerland? Probably more likely to be more secular and supportive of LGBT rights than Muslims from Northern Africa or the Middle East.
That is what I was thinking, mind you there are many examples of Muslims from fairly conservative countries who support gay marriage. London's current mayor Sadiq Khan voted in favour of gay marriage. In the German Bundestag all Muslim members voted in favour of gay marriage and in France I believe some did and in the UK I believe most of its Muslim MPs voted for gay marriage. People adopt to where they live, especially if they were born and raised there. I've often found in general children of immigrants tend to have values more in line of the country they live in than where their parents came from.
This is variable, especially in the case of Muslim migrants whose children tend to veer off in either extreme (i.e. become a secular cultural Muslim or else become some sort of Salafi). The MPs in this case are, err, not hugely representative of the community
In Britain in particular, you'd probably have huge losses for SSM in Deobandi Pakistani as well as in Bengal communities, but probably more of a mixed results amongst Turks, Bosniaks and Kurds.