"Their liberalism is much exaggerted"
Is it really? IIRC, they do have legalized euthanasia and same-sex marriage. Now, I would make a distinction if that has always been their culture, in contrast to the United States, where our cultural libertinism is very recent in history.
My cousins are raising small children 7 mos. to 2.25 years old, and they are not as "tolerant" as they used to be before having kids. They never see movies other than G-rated and listen to nothing but Christian music. I don't even have kids, and I fully sympathize with their plight.
Of course, they aren't violent towards people who live differently.
If they want to be welcome in democratic countries, Muslims should simply shield their children from the trash the law-abiding way, following the example of the Orthodox Jews, among others.
Is it really? IIRC, they do have legalized euthanasia and same-sex marriage. They say that they have set laws for practices that were solely dr's discretion and, of course, gay marriage only applies to a tiny group. So you could be there with families and not be affected by any of it.