We filed our federal and state a few weeks ago, but our taxes due have not been withdrawn from our bank account yet. both federal and State

Yes. I'm also waiting for my federal to be debited for a payment date of 4/1. Perhaps it's a screw up on turbotax. Another user had to pay NJ tax twice. All they say is go to the state and ask them to refund you and could take a while. 

Please check to make sure the return was submitted. To check your e-filing status and/or track your refund, please see the link here.  Also, please check that the correct banking/credit information was entered.  To do this, see the Help Article here.