So there is no difference between rehab and AA then.
No. There is a big difference. Rehab is only a maybe 30 day course to help someone get started on their sobriety. It does NOT by any means "fix" them. Alcoholism NEVER completely goes away. Neither does AA. AA will be there literally FOREVER to help and support. Does that make sense? I guess that's what I should have said in the 1st place. 
Sorry to confuse.
Blue