I'm the president of the Utah Whitewater Club. To create a club, as a non-profit 501 3C, you've got to incorporate and create bylaws and all that. Its not the easiest thing to do, but if you have enough specific interest in a club, and you have the time and energy to put forward the effort, it does have its advantages. If you're just looking to have a group of people who paddle together frequently, just create a facebook group and use that to organize. A paddling club, affiliated with the American Canoe Assoc as a 'Paddle America Club' gives you the ability to host events and get insurance through the ACA which is almost always requested by government entities when you apply for a permit for such an event. Do your buddies like the idea of dues? Creating a club requires that you feed the beast and charging dues and other fees is needed to stay afloat.
I'd suggest you look hard for a club in your area that is already established and try to fix that one. Its what I did and its working out good. If there isn't a club in your area, and you can muster a big group of people wanting to be actively involved (and about 7 who would fill slots in the club leadership) then go for it.