I had the same exact issue but realized that the NYC id I had doesn't have the document number or an issue date; it wouldn't allow me to move on without placing something in those boxes. I bypassed this problem by clicking the 3rd option, "I don't have an id available" (paraphrased here) and it then allowed me to sign a disclosure form telling NY authorities that I authorize TurbTax to e-file my return and then it went through.
