It should be mentioned that AAA's goal was always to be the Mexican version of WWE, they just never had the budget to pull it off. Being bought by WWE is more them achieving their goal more than anything. CMLL was always the promotion for traditional lucha, and AAA was the promotion for Sports Entertainment with a flavor of lucha.
Also by all accounts, Taker really is booking AAA. Yes, his politics suck, but he seems to have a knack for this. Not to mention his politics are probably not much different from practically every other wrestling booker ever not named Tony Khan.