Nowhere in the story does it say what the family's offense was to deserve deportation, apart from being ludicrously religious, which should be a matter of personal freedom.
Every person has a duty to try to minimize any damage done to themselves. I can not goto a mall, wait for them to start cleaning the floor and run down the hallway hoping I might slip and fall so I can sue the mall. Although I am sure some people do.
Even though minimizing damage to oneself is enshrined in every court int the West, somehow, immigration offices tolerate for people to rip their own papers. I can not walk into most countries in the world and expect them to accept me. Most countries only allow people for pre-defined period of time and so does Egypt.
When I had to apply for a work permit in Egypt, Egypt was quite generous to issue me a Five year work permit + staying visa for 35US$. I did not rip my papers. I did not cover up which country I came from. Egypt has absolutely no duty to permit this family to remain within its borders.