The lgbtqnation is alreadying yapping about him:
http://www.lgbtqnation.com/2017/01/trumps-possible-supreme-court-picks-lgbt-issues/
"Gorsuch has not decided any cases that directly spoke to LGBT rights. As a lawyer though, Gorsuch wrote an article in 2005 for the National Review arguing that liberals are using the courts too much and specifically mentioning same-sex marriage:
But rather than use the judiciary for extraordinary cases, von Drehle recognizes that American liberals have become addicted to the courtroom, relying on judges and lawyers rather than elected leaders and the ballot box, as the primary means of effecting their social agenda on everything from gay marriage to assisted suicide to the use of vouchers for private-school education….
As von Drehle recognizes, too much reliance on constitutional litigation is also bad for the Left itself. The Left’s alliance with trial lawyers and its dependence on constitutional litigation to achieve its social goals risks political atrophy. Liberals may win a victory on gay marriage when preaching to the choir before like-minded judges in Massachusetts. But in failing to reach out and persuade the public generally, they invite exactly the sort of backlash we saw in November when gay marriage was rejected in all eleven states where it was on the ballot.
While he didn’t exactly say he opposed same-sex marriage,
someone who believed that an entire class of people was being denied access to a legal institution solely because of bias would not have lumped same-sex marriage in with school vouchers.
But maybe his ideas have changed over the last decade, especially since his prediction that the public wouldn’t come around on same-sex marriage was proven wrong."
Basically it says Gorsuch wasn't an opponent to the cause but he wasn't an outright supporter either.
But you can see in what Gorsuch wrote above, he didn't particularly care for
activism using the courts
