I know very little about tax law or the technology that would be involved in doing this, but it seems like it's worth a shot. If the wealthiest people in this country don't pay their taxes, why the hell should I?
[1] http://www.nytimes.com/2015/12/30/business/economy/for-the-wealthiest-private-tax-system-saves-them-billions.html?src=longreads&_r=0