I've had the same thought. What you didn't mention thought was the connection that Gaza has to the Israeli electricity grid and water infrastructure. I believe this should be severed as well with enough notice to make it possible for similar connections set up with Egypt. If Egypt doesn't want to, that is fine. Gazans can use diesel from Egypt to power their generators and truck water in from Egypt and if it doesn't happen, then that's Egypt's responsibility.
One dead, three injured in Northern Arizona University shooting (DPA)
from the article: Israel should thank Egypt for opening Gaza crossing