I'd think an easier change would be to bring back secret voting in Congress, which was effectively eliminated by the use of electronic voting introduced by changes in The Legislative Reorganization Act of 1970.
It would accomplish two things: lobbyists wouldn't be able to tell who actually voted for legislation and party leadership wouldn't be able to effectively enforce party allegiance through committee assignment and campaign funding. I am sure there are some unforeseen consequences (like would lobbying just be replaced with some kind of real bribery behind the scenes), but not being under the influence of lobbyists and party leadership would allow congress members to truly vote on what they think is in their constituents best interests.
It would accomplish two things: lobbyists wouldn't be able to tell who actually voted for legislation and party leadership wouldn't be able to effectively enforce party allegiance through committee assignment and campaign funding. I am sure there are some unforeseen consequences (like would lobbying just be replaced with some kind of real bribery behind the scenes), but not being under the influence of lobbyists and party leadership would allow congress members to truly vote on what they think is in their constituents best interests.