Yes, it's called the Day of Silence. They're silent to protest the quote-unquote "silencing of LGBT people." I searched but couldn't find a connection between this particular middle school and the DOS. But, many schools throughout the country are involved in the DOS protest.
So, you're right, this probably has more to do with the young girl embracing what is viewed as a conservative cause.
And, speaking of the LGBT’s “Day of Silence” observed in schools, here are other students opposing it at another school:
http://www.freerepublic.com/focus/f-news/2007182/posts