So you perceive that the liberals are gay-shaming. And I perceive that they are not.
Another way to put it is that we both have differing opinions on the matter. So who's opinion is better? Neither. All opinions are equal and I never said otherwise (so drop the Mount Olympus malarky).
And when it comes to support and evidence in an ODN debate, opinions are equally worthless.
But I think what you might be missing is that the burden of supporting a position is exclusively on the person who first forwards the argument (that's you in this case). So when you say that liberals are, for a fact, being hypocrites, you have the burden to support that. If you can't or won't support, then your argument fails and must be retracted if challenged. Now, that doesn't mean that my position is correct - just that your position does not hold up and can be ignored until you do provide evidence for it.
If I were to argue that no liberal has ever engaged in gay-shaming, then the burden would be on me to support my perception as factual. But I'm not making that particular argument which is why I have no burden to support it.