The “i don’t want factions” faction
Which you’ve just invented. No such animal exists unless you insist on comprehending the world in absolutes. It’s an unhelpful choice.
irreconcilable differences in ideology
There are none. When you choose an ideology that claims there are, then you are de facto giving up on politics in favour of fighting.
The reason we as a species gradually invented politics over the last five or ten thousand years is precisely to reconcile differences of opinion that would otherwise lead to conflict. A refusal to partake in it would be base barbarism, in my estimation.
QED.
Oh well, I tried.