This is a fine goal, however, beyond what other have said here, it's important to realize that a lot of "laws" or "rules" that impact individuals on a day to day basis are not created by Congress at all--in fact, they're created via administrative agencies through rulemaking processes (see
http://en.wikipedia.org/wiki/Rulemaking). This is where the "rubber meets the road" of actually implementing broadly worded language that Congress has passed, and how these rules are promulgated can be vastly different from how Congress operates. For one, administrative agency rulemaking is almost always open to public comment and, by law, these agencies are obligated to take into considerations comments left by the public.
In a number of ways the process is more open and participatory than legislative law making, and, as mentioned, the regulations passed often have more of a direct impact on day to day life. There are a number of solutions out there that are attempting to make this process more transparent and participatory: for example, http://regulationroom.org/ (operated by a clinic at Cornell law school). In my opinion, informing the public of the importance and participatory nature of rulemaking (and getting more people involved) is probably a more realistically achievable goal than the proposed solution, and would likely have more tangible effect.