Many Muslim countries do implement Shariah law, or have other laws on the books, which often condemns homosexuals to execution or severe imprisonment.
In Europe, we have a strict sense of acceptance, and same sex marriage is legalized in many countries.
I'm originally from Spain. I view Islam with great suspicion, as I do with Christianity. Europe is highly secular (maybe with exception of Poland, Italy [to a degree] and a few other countries). We generally view all religion with great speculation and suspicion.
Shariah is not law but a code of conduct as instructed by god like the ten commandments of Moses. It is a guideline for recognizing the terms of a crime and not what makes a crime, there is no statement in the Qur'an that man should lay out punishments based on this law, government bodies use it to their own agenda based on cultural beliefs rather than what it preaches.
As i said, I'm an agnostic now, but i was Muslim for a long period of my childhood, and by experience, even in the Muslim community there is many misconception of what is Religion and it's ties to Politics.
That said, intolerance in any form is misguided and a careless comment directed to a group of individual irregardless of the issue matters can lead to many misconception that eventually leads to discrimination without knowledge of the actual truth.
For example, in the 80's, the aids Pandemic became synonymous towards the gay population based on a misguided assumption that it is a disease caused by homosexual encounters.
All I'm saying is that the world has become a smaller place now then it was 10, 20 years ago, and with that, comes the misguided views of what a certain group is, being human it is inevitable that we want to categorize what we see so to recognize what equals to a social acceptance of what is normal.
But we have or more of we "should" know better now, books are written in ink, and words may change but the basics is still there if we bother to look for it. The ORIGINAL teachings of Islam is that of SOCIAL TOLERANCE, and the BASIC UNDERSTANDING IN THE COMPLEXITY OF LIFE and that all is fair in the judgement of a creator and NOT the created.
Power corrupts any teachings to its own propaganda and they turn to the faith of its nation to justify their laws. Their laws are man made and not the laws of a God.
But to each its own, I believe that religion is more a way of life and how you choose to live it. Extremists use it to justify their actions, Politician uses to put people in check, but ultimately, the basic of it will always remain the same. Like i said, We all "SHOULD" know better