I would think discordianism transcends political thought altogether. We aren't crowning discordian monarchs, or engaging in holy wars, or trying convert our fellow humans, or making theocracies, for example; albeit our more successful temples often are disguised as, or otherwise congregated in, congresses, parliaments, courts, bars, burlesque houses, other churches, rundown buildings etc. Nor do I think we have roots of anarchists free from responsibility (even if our founders were hippies and beatnics), but rather our roots grow from the chaotic fires of liberty and personal growth. Better to be one out of the many, than just another in the multitude.
If we had one political 'position' surely it would be a long the lines of disobedience is man's original virtue. That the Faustian Individual is much greater than any static state, or ideology, or philosophic creed, or conditions, circumstances, or consequences. Being a change in the world rather than a hoping that the world might change on its own.
I think we are a religious rebellion of the living against the dead: their legacy, inaction, their laws, ignorance, and their lack of wisdom, lazy.