Influence on what? A particular field, or somehow all of them, weighted? Using lots of different criteria sounds good, but then the weighting you use become more significant.. I guess the only way is to yourself become the most influential arbiter of who's influential. Come to think of it, anyone on one of the main 'influential people' lists is made (much) more influential just by impressing people by appearing in it.
So maybe first decide who you would want to be in your list, then make it so... A self-fulfilling prophecy. You become more right by publishing it. If only science worked like that! (Well..it does, in a way.)