You're suggesting that 100% of the income tax burden is shifted from employees to employers.
The incidence of taxation (which party bears the burden of the tax, irrespective of who 'pays' it) is widely studied. As it relates to payroll taxes (paid by the employer) and income taxes (paid by the employee) most research finds that employees bear most (but not all) of the burden. This is the opposite of your claim.
It's not shifted. It's just there. It was never on the employees. Employees don't have their own money to tax. Employees money is employers money. That's its source.
Employees get taxed when they spend money by being consumers. Sales taxes and VAT are their tax burden. But income taxes of the employees are the burden of the employer. It's employer who has to fork that money because otherwise he wouldn't be able to pay enough so that the employee agrees to work.