Islamic scholars and council of Ulama consider homosexuality as a sin. I have doubts they even use the word "homosexuality" but instead most of those boards will speak about "sodomy". The religious base to maintain this view is fundamented in both Koran and Tradition. Since this post is intended to be brief, I'll just point you to where details on these positions are further explained and developed. Thus, for an official view of Islam on homosexuality this link can be useful. Homosexuality is a sin which will be punished by Allah and by the Islamic law. Period.
On April 30th 2007, The Muslim Council of Britain issued a brief statement in regards to their position on the Sexual Orientation Regulations: "We affirm our belief that the practice and promotion of homosexuality is forbidden according to the teachings of Islam. However the Sexual Orientation Regulations are not about religious belief but about prohibiting discrimination in the provision of goods and services on grounds of sexual orientation. The MCB stands opposed to discrimination in all its forms." it was a non-compromising statement towards SOR, also known as the 2007 Equality Act. Maybe this is the start of a change in Islamic positions? Not at all. But there are dissident voices among muslims, the most known example of which is Sheik Muhsin Kendricks in South Africa, whose position you can read in this article on Behind the Mask. An even more permissive position is that of Abdennur Prado, whom is being discussed in this entry from Islam Online (the article containst several pieces of misinformation though).
Muslim LGBT groups.
Perhaps the most renowned of all Muslim LGBT groups is Al Fatiha, "a US-based organization dedicated to Muslims who are lesbian, gay, bisexual, transgendered, intersex, questioning (LGBTIQ) & their allies", but also Queer Jihad, and the Gay and Lesbian Arabic Society. For a more extensive view and links to LGBT resources, please check Al-Bab page on Gay and Lesbian Arabs.
It remains curious, in my humble opinion, that an Internet domain such as gaymuslims.org points to Eye on Gay Muslims, a blog which appears to be an offspring of the StraightWay Foundation, an organization which apparently tries to introduce the Evangelical concept of ex-gay into the muslim community.
In any case, LGBT people in the muslim and arab world is gaining visibility and starting to claim for rights, and not only in Turkey or Lebanon, but also in Kuwait, for instance.