Well, I think it is very important to have a strong and independent judiciary, if ONLY to keep the political system in line (y'know, someone checking the ludicrous knee-jerk legislation with sagacious interpretation according to human rights, for example). Societies without all three parts working together and equi-powerful tend to be in a bit of a mess. Liberia, for example, HAS THE US CONSITUTION, word for word. There is no way to enforce the rule of law, with Harvard/Yale and Oxbridge-educated warlords holding the poor and disenfranchised to ransom.
That would only work if you had some hefty insta-vote technology to make the members vote totally according to the dictates of the electorate, I'd say. Then someone might suggest that there is no need for a member to make all the decisions; just put each one to a popular vote. This does tend to reduce democratic decision-making to a sound-bite farce, though. Everyone will be subject to spin doctors of un-policed third-party "grey political affiliations".
Better to have it out in the open, where it can be observed and countered, than hidden away making uncalculated impacts on the "informed decision making process". Additionally, it is a lot harder to police individual bias than it is for members of a party to police themselves.
Also, we need to get a system where a politician can be trusted to make decisions on behalf of their electorate, without making the backward-self-justifying nonsensical statements so familiar in British politics today.