Levin knows the Constitution, no doubt about that. His mistake is in placing it above the Declaration, which argues that the duty of any form of government is to secure the right to life.
The Constitution, then, is merely a means to an end. Levin here is revering the means at the expense of the end.
I gave Levin too much credit, by posting before listening to the clip.
He’s not a bit concerned with what the Declaration says about the right to life.