Sharpness Index
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There is something somewhat similar at chessgames.com using their opening explorer. You have to be a member to go past the first couple of opening moves...however it does give you a win-draw-loss % of both black and white based on the opening moves they choose. I find the site to be a wonderful tool plus it has a great endgame explorer, sacrifice explorer, and more. It is well worth the 20 bucks a year.
Erik has hinted that we will see some kind of Opening Explorer/Database at chess.com in a few weeks time
Yeah, the index sounds like a great idea. The calculating of the index could be difficult but would be a very useful piece of information to have. How precise would the index be once calculated would be the key question.
On the otherhand, you could have a simplified version whereby a selection of top players/opening experts etc use a 1-5 ranking system. ex. 1 for not very sharp opening, 5 for very sharp opening. This would be normative analysis and of course opening could be considered rank 3 while other may think rank 4 or rank 5!
Yes, that would be a godd start and perhaps a doable project
Yes, i think start out basic and if the idea catches on it could be developed. In fact, a voting system could be set up whereby members of the forums rank each named opening. Not specific lines of an opening but just ranking for ''Sicilian'', ''French'', ''Kings Gambit'' etc. Of course there would be much debate about the results but then a second round of voting could be used, voting based on specific lines of each main opening, for example ''Sicilian Najdorf'', ''Sicilian Dragon'', ''Queens Gambit Declined exchange variation''. Once that information is gathered you have a neat little system. The accuracy would be questionable but nonetheless it could prove useful.
Why dont we try, or you try since its your idea, to create this index?! Like in the world of economics, people/universities/business can all produce indexes, none are 100% correct but some have less errors than others. I dont think it would be a failure to produce an index based on the publics (chess.com forum members) perception that was a little off. This index could set the grounding to develop a more complex index with less error.
You could call it ''Farbrors Index'' [or ''Farbrors 'Great' Index] 
This is of course and hard nut to crack but it would be fun to have a "Sharpness Index" for all Openings. A measure to indicate how risky it is to deviate from theory in different openings. How to define such Index is of course an open question but Kind of fun.
Would it be in anyway usefull? Probably not but maybe it would put an numeric measure to common beliefs that such-and-such is a solid opening suitable for beginners.
Perhaps a simple metric such as:
"The difference (in centipawns) between the best and 5th best move after, say five Theory moves of an Opening"