There's a far better way to help the smaller teams: Split the sport's revenues more equally.
Under the current regime, the top teams receive many times the amount the smallest teams do (e.g. more than a 9x difference between what the Constructors' Champion receives and the paltry $10m the bottom two teams are given) - http://www.hindustantimes.com/Images/Popup/2012/10/24-10-12-...
The English Premier Football League, on the other hand, splits the revenues far more evenly, with the winner receiving only 55% more than the last-placed team - http://www.sportingintelligence.com/wp-content/uploads/2012/...