I do not have the information to do this examination and evaluation.
It boils down to 1/2 the population generating the wealth that supports the other 1/2. Even a small amount of tax on 150 million people (who currently don't pay taxes) would be a windfall to whittling down the deficit.
Logic would dictate, that since these 150 million do not pay anything now, it could not result in decreased revenue if they paid "something" ... even $100/year; even $50/year.
The logic you cite only applies if you are increasing tax on those already paying some tax.