I think it's inappropriate for ANY group to use this tragedy to further their own political agenda. There are many avenues through which homophobia can be dispelled and people enlightened. But I think to use this particular incident for such ends would be grossly inappropriate and self-indulgent.
This is a crime against humanity - the term humanity is inclusive of everyone. To narrow the focus of what has happened to any one kind of human would be to follow the example of every group that wishes to make this about their cause - including neo-Nazis, nationalists, xenophobes and bigots.
It cannot but be supportive, socialist, communist or whatever you want to call it. Does nature, and the human species with it, have much time left to survive in the absence of such change? Very little time. Who will be the builders of that new world? The