I think you're confused friend, he meant stories of people refusing non-LGBT people for their views against LGBT. I know a Christian that happened to, people found out about his views on gay marriage, and then he got refused entry to a restaurant whose owner's son was gay.
Then the same thing applies. These anti-discrimination laws also protect against discrimination based on religion. The Christian that you described in your example would be entitled to sue just the same as someone refused because they're gay would.