Be advised that the posts that these screws go into are very fragile and may even break. Make sure to get the little plastic pieces out if you over tighten them or they are just brittle and broken to begin with. The screws seem to be long enough to work if you do break the posts off completely.
I just left the connector alone and kept it connected while working on it. There is enough wire to allow you to do what you need if you are just careful not to snag it on anything.