Fair question and I dislike this sort of thing as much as anyone. And of course such an opening comment means there is a "but..." coming.
What you're asking for is to criminalize certain petitions of government. So how do you choose whom to discriminate against such that they cannot petition their government in regards to law making without, at the same time, simply institutionalizing the viewpoints of the other side? Maybe we shutdown corporate lobbying, but then do you need to shut down other associations of individuals (consumer groups, unions, etc) from lobbying government in order to keep equity, or tacitly assume those other organizations must be right anyway? There are many ways to play that game and the only options are those that simply favor one interest group over another... sure, the winning side probably won't complain about undue influence or insensitivity to the concerns of the losing side... but when has it ever been that way?
If you want a real solution to problem you're talking about without explicitly shutting down the give and take of ideas (good and bad) that are required to make the democratic aspects of our system function, your only solution is to limit what power the government has to influence preferential outcomes for anyone that would lobby it and increase the rights of individuals to act on their own accord or in trade with other, similarly free individuals. Without the power to deeply intrude into the economic lives of people (regardless if employee or shareholder), lobbying government for favors simply wouldn't be a good investment. Indeed, it is ironic that you ask to outlaw this sort of thing... because any time you expand the government power to regulate or influence outcomes you make the lobbying dollars just that much more worthwhile. Going further, you simply are considering a totalitarian systematization of your ideas: something worse than the rent seeking you rightfully decry.
(edited for slightly better use of language)