No.

A small minority, perhaps.

No equivalence whatsoever. One is bigotry, the other isn't close.

Of course racism is bigotry.
What is often called "homophobia" isn't necessarily.

And no-one says they should.
(Both before and after the legalisation of gay "marriage", LGBTs had the exact same marital rights as everyone else.)

LGBTs have the same rights as everyone else. Where in the US, UK, Canada or Australia are they second-class citizens?

Your first point isn't bigotry by any means. It's common sense.

Keeping marriage heterosexual.