Hi and welcome to the clans forum,
The People's Liberation Front and a few others probably meet your requirements, except for one which is likely to be a major problem:
* Acceptance that I NEVER, under ANY circumstances play NATO.
Basically I think most folks don't have a problem with this, but it rules out league and tournament matches for you. The standard practice is that team A plays Pact first and B plays NATO, then the roles are switched for the 2nd game in the match. This hasn't been much of a problem ever before since most players at the league level have adapted to both sides, and nobody has really considered alternatives to this practice.
Fix decks and save minor nations - viewtopic.php?f=91&t=28335