Would you vote for a set of ideas, principles and philosophies which was known to you only by a string of numbers and letters? I doubt most people would, in the United States, anyway.
I’d love to study a political system where the political actors had unique identifiers but were not personally identifiable. In such a system, it would be very interesting to see how power structures played out if the interested parties could still, indirectly, relate to legislative outcomes without being personally boosted or hurt by legislative outcomes. The people would still retain power to grant and revoke representation rights, accordingly; they would just never (or not likely) know the person truly representing them. Would the current batch of politicians even run under such a scheme? Unlikely.
Interestingly, for as politically inactive as people are here, it amazes me how much interest they take in the personalities of individual political actors.