If there were a field for each credit card for the billing cutoff date and payment due date, credit cards could be added to the projected balances screen (as negative numbers) with markers for the cutoff and payment due dates. Automatic and scheduled payments would reflect on the "paid from" and "paid to" accounts on the line graph.
Think of it this way - If Quicken knew what the card payment due amount was (based on the billing cutoff date), it could automatically create a reminder transaction to pay the card X days before the due date.