If you didn't plan to use gross ratings like this blog did (I think), then I'm pretty sure that you could do a post-normalization by analyzing the frequencies in the sample and determining how much you'd expect each of the traits to affect the rating for every other trait, then trying to determine the if the deviations from that were statistically significant in a universe that contained only those traits.
Honestly - just take the original data and assign every trait a 5 rating, then pick a random trait and pull that value up or down, then check and see what the gross ratings now say about the other traits.
I apoligize if the methodology was more complicated than it looks, and I hope there's a link to the spreadsheet of the original distribution somewhere in the blog that I missed, so someone could make sense of this data.