If in-state police checkpoints continually asking you to show Id while you refuse, is that consider detaining?

In a checkpoint inside US, a police ask you to show ID then you refuse by saying "I do not need to answer question and I do not need to show my id," and yet the police continue to ask questions and trying to convince to pull over to conduct searches while I refuse for over 10-20 min until I was let go to the road without getting pulled over on the side. Would that consider be detaining?

And say you want to say "am I free to go?" and the police still insist on saying to show your ID and pull over for over 10-20min until finally let go without getting pulled over on the side, would that be also considered detaining?

Please provide evidence if so or if not. I just want to know if police have the right to do that. Just for curiosity purposes. Giving links that supports your evidence would be much appreciated.

And yeah, I always show my Id when asked. This is just for curiosity.