SEC already does a nice job splitting the TV and bowl money. Actually, it does such a nice job that I'm surprised the largest programs haven't publicly bitched to have it changed.
Anyhow, if the SEC were to attempt to collect ticket sales and alumni contributions for redistribution, the SEC would cease to exist at that very moment. The largest budget programs would withdraw from the conference and create a new one with other schools that would be more than happy to comply with the former arrangement.