You have that exactly backwards. Taxes are all ultimately paid by people, because only people actually produce or consume.
I could be sitting here growing my food, cutting firewood by hand for heat and consuming everything I produce and (disregarding property taxes) not pay any tax.
As soon as I go to work for someone or start selling my produce then I pay tax It is from business (mine or someone elses) that starts the tax process
Of course on the plus side, we can all incorporate and reduce our tax burden.
Wouldn't work. Any money you take out of the corporation to live on, or any money the corporation spends on you (housing, vehicle, food, etc.) is personal income, and would be taxed as such. About the only thing you could achieve this way is to defer taxes on savings. But they'd still get taxed eventually.
Even without being incorporated I can write off a lot of living expenses. My vehicle that is used 80% for business is a partial write off and I can still stop at the store while doing business. House also includes a home office which is also a tax write off. Could also be eating at restaurants while entertaining clients and write off a lot of food. Being a business currently means being able to pay myself less then if I was a worker and if profits were not taxable I'm sure that ways to spread out the pay could be found. eg Instead of supporting my wife and child, they could live off the dividends that I pay out from my profit putting all of us in lower tax brackets.
The truth is that there are no simple answers about whether people or businesses pay tax and both people and businesses benefit from taxes, or at least what the taxes pay for.