Go to the NCA Website and you will have to read the constitution and by laws. You may (I haven't read it) have to petition NCA, and have a certain amount of signatures, etc. I will bet there are a lot of start up costs, and I will also bet you will have to pay a fee to NCA. I will also bet it will be a long drawn out process.
I am currently a Club Officer of a non-dog not-for-profit Club and on the Board of Directors of another. Starting a Not-for-profit origanization takes A LOT OF WORK, including stuff like Registering and paying fees to the State it is registered in, Registering with the IRS as a not-for-profit, many, many little details. Also you will need an attorney, etc.
Not wanting to rain on your parade, but these are things to think about.
EDITED PORTION: I did read the Constitution, and clubs can be formed, however, they must meet all the requirements of the AKC as well as the NCA. LOTS of WORK!!!!
[ 12-02-2006, 10:23 PM: Message edited by: Captnted ]