What are you trying to pay with a CC?
To pay the TurboTax account fees you use your own credit card.
To pay taxes owed with a CC there is no requirement to enter a driver's license number on the screen for entering your information.
You can also use the IRS provided CC processors at this website to pay the federal taxes owed with a CC - https://www.irs.gov/payments/pay-your-taxes-by-debit-or-credit-card