They have more education and more free time for political activity. If one wants to lessen their influence, the way to go is public financing of elections. Lessening the impact of money would go a long way towards breaking the power of incumbency and allowing new voices to be heard.
Actually, the opposite is true...the guy in office would have all the advantages over the guy trying to fight him with limited money...also...why on earth would you want to give your hard earned tax money to help greedy, corrupt people get into political office...make them pay their own way...
If you want to break the power of incumbency...get rid of campaign finance laws...that way a good man, with a sponser who had money could fight against the bad guys who have money and the system behind them...the problem now is that joe the teacher, the plumber, the cop...can't get the money they would need to make a real run at the office...if you had public financing...the guy in office would still have all the advantage...
Incumbency is an advantage, but it would be lessened, if they didn't have access to the pocketbooks of special interests who don't care about politics, but power. Many will support whomever is in power because a sure thing is better than a maybe, if you're trying to get favorable legislation. As for paying the way for people you don't like, you're doing it already. The cost is figured into most things you buy