Same-sex marriage rights were obtained in several states via a vote in the legislature. And Americans overwhelmingly support the US Constitution and court system. So "the people" were involved in both of those paths.
In some states, sure. But where I live in Indiana, the strongly Republican state hates gay people (government and much of the citizenry). Remember that one of the cases in northern Indiana was the 'Gay Cake lawsuit'.
Our state only allowed gay marriage because SCOTUS ajudicated it so.
Also, the decision also affected me directly because women could legally change their name in marriage for free. But men doing so (I am one of them) had to pay a bunch and go in front of a judge and ask permission. The Gay Marriage decision removed this form of sexual discrimination as well.
The point that I'm getting at is that even in states where a majority dislikes gay people, there's not much of a move to abolish the 14th Amendment. People complain about "activist judges", and there's been one significant recall (Iowa), but that's it.
FWIW California was about the same as Indiana in how marriage equality was achieved: a popular vote against followed by a court ruling for. It's popular now, but it wasn't at the time of the court ruling. It's extremely rare that minorities get 14th Amendment rights in a referendum.
Our state only allowed gay marriage because SCOTUS ajudicated it so.
Also, the decision also affected me directly because women could legally change their name in marriage for free. But men doing so (I am one of them) had to pay a bunch and go in front of a judge and ask permission. The Gay Marriage decision removed this form of sexual discrimination as well.