And the first place they will be innovative will be in their accounting. If you put in a budget cap of, say $200 million, I guarantee you that Ferrari, McLaren and Red Bull will all find ways to spend $250 million by the end of the month - and it will be perfectly legal under the rules.
That's what the row in 2009 was all about. Mosley wanted a budget cap, but the teams didn't want to open up their books to external auditors - even after Mosley abandoned his (stupid) idea of having a second set of rules for teams that observed the voluntary budget cap. They weren't comfortable with throwing open the balance sheets to outsiders, but they were also paranoid that the FIA would find out just how much they were actually spending in a given year, and that the FIA would not be impressed by it.
People have this idea that the FIA is some big, slavering brute that is constantly trying to squash the teams underfoot, kind of like that rabid gorilla that was used in anti-German propaganda. And at the same time, those people seem to think that the teams are like the soldiers raising the flag at Iwo Jima - unified in conquering and repelling the FIA's authoritatian advances. The truth is that while the FIA can be conniving, underhanded, and willing to play dirty when it suits, the teams take all of that and turn it up to eleven.