You understated the amount people actually pay to the government today. Its even worse than what you describe. The notion that the employee isn't really paying the "employer" portion of the tax is a concoction of liberal politicians. Just ask anyone who is self employed.
Oh, I understand that it's still coming out of my pocket no matter who pays it. It's part of the cost of hiring me, just like my salary ... and could be added to my salary if my employer didn't have to pay it.
Most people also don't take into account the fact that my employer passes ALL of these costs on to the consumer.