Uber drivers pay next to no taxes at the moment.. A chat with with them will confirm it.
They don't pay VAT (revenue under 80k). They are self-employed, so corporate tax does not apply. They pay a 10% in National insurance.
And on income they pay for the 10k to 30k tier, at 20%.
Compare this with a normal company hiring staff. Tax burden doubles just with addition of VAT.