The deal between the Jews and God is simply an agreement as I understand it. They became idellibly marked as His chosen people by the spilling blood. The part about inflicting this upon a newborn is the part I don't grasp, but I'm not God. I suspect it's the value of the sacrifice which explains it. I'm sure the ancient Jews kwew as well as anyone how much pleasure their foreskins offered. Afterall, there wasn't a lot of distraction as we now have. In having to give up part of them, they were paying a big price for what God offered to do for them in return. That part makes sense. The part about the babies I think might be the tremendous value placed upon having sons in that era. In circumcising their sons, they were giving up part of something they treasured. It was a huge statement of faith.
Since Jesus made His sacrifice, as I see it, Jews are not bound by circumcision. Some writing of Paul pretty bluntly state that it would condemn those who continue to believe in its importance by making them responsible for the entire law. This seems to imply an inability to receive grace, doesn't it?
The page which explains the air pressure feature at the restore site is reached by clicking onto the lower center picture. Scroll down from there.
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