If you guys want to organise anything competitive you need a format.
There are two options which spring to mind - either a weekly ongoing league, or a rolling single elimination system.
In the first, you play best of three against any opponent in the league you can find - the victor gets three points and the loser gets one. Each pairing can only play each other a maximum of twice in any given week. You keep a roster of games played/won/lost/points.
The second is a system whereby you register your involvement in the thread and then try to contact one of the other ones involved. Winner posts and gets to advance to the next round which is played the next week. Meanwhile, new tournaments are organised so that each plays one round per week. After a while you should get a finals match being played every week.
I'd offer to help organise this if I had more free time, but just saying "let's do this" isn't going to attract a lot of people. If, on the other hand, you're just after getting people together to have casual games so that you can play against interesting people, that might work quite well.
