A1: The world would be better if politicians paid more attention to public opinion or knew more about it. I don't think this is so clear. Citizens support many policies not in their interest, don't know everything that experts do, etc. Most democracies reflect a tradeoff between popular control on the one hand and expert judgment / elite control on the other. I don't think either extreme is the best, and don't know where we are on that continuum relative to the ideal. But for what it's worth, my sense is that citizens actually understand this to some extent and ofter defer to legislators' judgments: http://stanford.edu/~dbroock/papers/broockman_butler_legisla...
A2: In order to increase citizen engagement, we should focus on lowering the cost of acquiring information about politics, the cost of participation, or the cost of providing information to representatives. I think this misses the real challenge: increasing people's motivation to participate and the benefits to participation. It's never been easier to participate in myriad ways -- the cost is epsilon. But if people see the benefits as zero, which many seem to, they still won't engage. I don't think the cost side of the equation is where the action is.