I think a problem with blind voting is, who do the citizens know who represented them and acted in their interest, and therefore who they should support and vote for? Backroom deals and corruption would run rife. Greater transparency is better than less.
A conscience vote, where the party leaders do not enforce a particular party line, instead accept the will of the representative member (notionally on behalf of their constituents) should be more commonplace. This is essentially the same as getting an independent. Best bet is to break up the 2-party system.