> If we define lobbying as using your financial resources and/or political connections (which others lack) to successfully influence policy
This definition is sloppy. If I buy a tacky "In this house..." sign and place it in my yard, I am using my financial resources to influence policy. Restricting that by law would be a disaster.
I think a better point could be made about the relationship BETWEEN financial resources and political connections. We should seek policies that limit the extent to which financial resources can easily buy political connections. This can be done by placing restrictions on public servants instead of restrictions on the public.
Of course, you're never going to totally remove the connection without totally destroying freedom of association.