Simplest solution:
1) Kill all those corrupted politicians and their backstabbing double-faced deals with large corporations and other forms of lobbyists.
Abraham Lincoln, First Inaugural Address, Washington, D.C., March 4, 1861,
"This country, with its institutions, belongs to the people who inhabit it. Whenever they shall grow weary of the existing government, they can exercise their constitutional right of amending it, or their revolutionary right to dismember or overthrow it."
Thomas Jefferson, letter to William Stevens Smith, November 13, 1787,
"God forbid we should ever be twenty years without such a rebellion. The people cannot be all, and always, well informed. The part which is wrong will be discontented, in proportion to the importance of the facts they misconceive. If they remain quiet under such misconceptions, it is lethargy, the forerunner of death to the public liberty . . . And what country can preserve its liberties, if its rulers are not warned from time to time, that this people preserve the spirit of resistance? Let them take arms. The remedy is to set them right as to the facts, pardon and pacify them. What signify a few lives lost in a century or two? The tree of liberty must be refreshed from time to time with the blood of patriots and tyrants. It is its natural manure."
We should follow the words of our forefathers, oust the corrupt, and institute the (currently) uncorrupted.
Now, following this has little to really do with removing the corrupted but more reforming the government to better suit our needs. There are many laws and many amendments that are out dated and we still use them.