Lets go further and even more "off the ball", abandon the points syatem for, say, a 2 or 3 year trial period, and use a system similar to FIFAs ranking.
Start with the previous season's positions as a base, then you get more "ranking points" for beating teams above you, fewer for beating those below, on a sliding scale. That should even things out a bit?
I realise I'm looking for porcine aviators here as the bigot bros just wouldn't, but it may be interesting to view how the table would look alongside the traditional 3-1-0 points system