I would be in favor of such a redesign, but the nitpicker in me wants to point out that U.S. bills don't all feature presidents.

Alexander Hamilton, on the $10 bill, was never president. Bills valued at more than $100 have not been made for some time[1], but the most recent $10,000 bill featured Salmon P. Chase, who was also never president.

[1] Not since 1945, saith Wikipedia: https://en.wikipedia.org/wiki/Large_denominations_of_United_...