People are constantly (over)interpreting this "mods are against my side" bias into what we do (https://hn.algolia.com/?dateRange=all&page=0&prefix=true&que...), but I can tell you for sure without knowing which side you're on (or what the topic even is) that people you disagree with feel just as strongly that we're clearly/obviously/certainly against them and that we tilt the field towards you. It is by far the most consistent phenomenon I've observed in years of doing this job.
Why? Because everyone, including the people on your side and the people on the opposing side, reads meaning into random subsequences (https://en.wikipedia.org/wiki/Clustering_illusion), place strong emphasis on the datapoints they most dislike, and often don't even notice the counterexamples (https://hn.algolia.com/?dateRange=all&page=0&prefix=true&que...).
You're right, of course, that moderation is uneven, but the chief reason for that is that we don't come close to seeing everything. Beyond that, we no doubt have our biases (though different mods have different ones), but we also work hard at suspending them when moderating and have many years of practice at doing so. Many of our "you've unfortunately been breaking the site guidelines repeatedly lately" replies are addressed to commenters whose position on an underlying topic we actually agree with.
I would never claim that we are perfect at being even-handed—this is impossible—but it's nothing as crude as what you think you're seeing here. That explains why the people you're most implacably opposed to also believe they're seeing the same thing, just in the opposite direction.