He is quoting political comedian Stephen Colbert, referring to the fact that different political groups all independently believe that their perspective is actually a reflection of reality.
To the contrary-- his neocon character is admitting that his perspective does not align with reality. That's a much more scathing critique of the neocons than the generic upshot you wrote above.
There's no "proof." It's a joke made by comedian Steven Colbert (in character as a self-parody of a Conservative and right-wing pundit) during the 2006 White House correspondents' dinner, mocking the Bush Administration's low approval rating as "reality" having a "liberal bias." In the context of post-Trump politics, the joke would be to dismiss unfavorable poll numbers as "reality" being "fake news."
I know i will f(l)agged for this. But have some kind on me, it's just my opinion at the end. I know, through my work, some homo lads. The are not well, most of then needs some kind of help. But criminalizing this was the worst idea we ever have: some of my greatest idols were gay or least post as them: Wilde, Melville, Petronius, Capote... Some of them suffers the criminalization, some of them lived in a period when being gay was not a crimen or was not different at all. Edit: Freddie, I miss you as hell, man.