It is discussed by people on 'political' tv != it is political.
You can politicize anything you want. But there is nothing inherently political about showing support for an LGBT human being. 'What neoconservatives want to make political issues of' is an entirely different matter.
The moment something is merely mentioned in a law, it is henceforth to be considered under the header of "political topic"? Why? Because some political strategist (or worse, lobbyist) told you it was worth legislating for or against?
Your position can be summed up as "It is okay for Google to make Google Doodles about person X until whatever person X worked on became politicized".
Why was it okay for them to make a doodle about Simone de Beauvoir but not about your fellow LGBT human beings? This is the straw that broke the camel's back for you? Really?
Showing support for LGBT people == politics? Give me a BREAK.