However I am not fan of the phrase 'Homosexual Lobby' it has negative connotations. We are not a political party, or a group of developers, or a company - we are your brothers and sisters, your cousins, your friends and workmates. A disparate collection of people who are born a certain way. We are not a Lobby.
I also find the phrase "gay community" strange, for the same reasons.
I have a few gay friends, of both genders, and a gay family member. They couldn't be more different as people.