http://www.amazon.com/Republic-Lost-Money-Corrupts-Congress/...
If you want to know what to do, a nice first step would be to buy and read Republic, Lost.
A strategy which requires a whole book to be explained sounds like giving up on anything simple and claiming we can go through 1001 non-radical steps to eventually get to a happy place.
This to me is a form of denial. You realize simple solutions can not be practically implemented and you convince yourself a marathon of tiny changes is the way to go.
(Disclaimer: I have not read that book.)
At least 3/4ths of the book beats you over the head with countless examples of the corruption, how it came to be, and why it's not technically illegal.
The very last part covers potential solutions, none of which have a great chance of success due to the vested interests but should be tried anyway. e.g. a constitutional convention is one way out, if we can convince enough states to call one.
What happens if we try them all and they (as expected) do not succeed?
If they don't have a great chance of success, why can't we find other solutions?