Certainly the folks who have the most to lose in that scenario might be expected to pay the most to maintain a status quo that benefits them disproportionately.
And the wealthy would pay "the most" even with an entirely flat income tax. What I believe you are arguing for is a situation in which those who achieve the most (or benefit the most from the publicly-provided common services) pay proportionately more. Is it "fair" that those above the median income provide virtually all of the funding for these common services.? Is it conducive to the overall prosperity of the country for these common services to funded in this way? If those voters who earn the least pay virtually no federal taxes, exactly what is their personal interest in moderating the expenditures of the federal government?