How can I reschedule the federal tax payment due withdrawal date to reflect the new 60 day extension?

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If you have already filed and it's been accepted, you cannot change the date.   You can cancel it, however, and then pay by some other method, such as by check, or paying electronically at the IRS website, etc.  IRS Direct Pay at their website allows you to pay directly out of your bank account, and it's free.  Here's the link to IRS Direct Pay:
https://www.irs.gov/Payments

The IRS website says:

"Once your return is accepted, information pertaining to your payment, such as account information, payment date, or amount, cannot be changed. If changes are needed, the only option is to cancel the payment and choose another payment method."

Source:
https://www.irs.gov/uac/Pay-Taxes-by-Electronic-Funds-Withdrawal

To cancel your payment you can go to the IRS website linked above.  Scroll down to "Cancellations, Errors and Questions."
It will tell you how to phone "IRS efile Payment Services" and cancel.

It says to wait 7-10 days after it's accepted before you call.