There are competitive Team Fortress 2 leagues and cups also, aswell as LANs.
Actually, one of the biggest just happened a couple of days ago, on i43.
Oh, and btw, making an analogy (TF2 to poker):
-Pubs are like Play money - no one has any clue of what he's doing or what should he do, they don't know or understand the game mechanics, etc etc etc;
-Bottom lower teams on any league are like NL5 poker players: they absolutely suck, but are good enough to rape the players from the pubs.
For everyone interested in following the competitive scene, here's the community news and gossip site:
http://www.vanillatf2.org/
In the last season on the European Team Fortress 2 League, there were over 350 teams playing. New season will start soon.
If you are raping the pubs and you're demoralized by how bad everyone play, or if you want to get better, try the competitive type of play.
6on6, medic limit 1, demoman limit 1, other classes limit of 2 (but 95% of the time its 2 soldiers and 2 scouts), voice communication over Mumble, etc.
And Gerv, I admire you in poker, but I'm sorry to tell you this: you know nothing about TF2. 
For example, althought demoman is deadly in the hands of any competent gamer, the skill ceiling is much higher than any other class, because you don't only need decent aim but also excellent positioning and movement prediction, take in account that pipes don't shoot from the center of the screen and do the necessary adjustment, know how to do perfect stickies jumps and roll outs, etc.
Some hints:
-In any team, the medic is the most important class. In most of the cases, if the medic dies, the team loses.
-Next is the demoman - no one can deliver as much damage as him offensively, neither defend spots so well.
-Soldiers althought usually the second most destructive class in pubs (just after demo), soldiers are the most underpowered class commonly used in competitive play. However, they are indispensable - especially to protect the medic (usually from the enemies scouts).
Source: I played competitively for years.