Let me start with this statement:
"Collapse of the Christian Faith in the face of proof of its invalidity by finding extraterrestrial life. As well as the collapse of other world religions."
As a credential MINSTER with my denomination, let me assure you that if an alien spacecraft were to land in our church parking lot this Sunday Morning at 10:45 AM, it would not even change our schedule of services for the day. We would ask them to move the spacecraft though, as we have limited parking space. We have elderly that really NEED to be able to park near the door.
Seriously. We're not going to interrupt our morning worship just to conduct First Contact with aliens. But don't get the wrong idea. The aliens WOULD be welcome to come in and join us for the service if they so wished. We'd love to have them.
Nothing in The Scriptures or in the Christian Faith precludes the existence of aliens. I knew one pastor who interpreted certain passages in scripture as PROOF that there WAS sentient life on other planets. People who think that proof of alien life would cause even a hiccup in the faith of most Christians, or of any other religion, simply don't understand those religions.
As for Catholics, the Pope has already stated that alien life is quite possible and perfectly compatible with the Catholic Faith. No worries there. Most Jews would have no religious difficulties either. The Orthodox Jews will not interrupt their Sabbath to make First Contact though, so if the aliens show up between sunset on Friday and sunset on Saturday … they'll just have to WAIT!
I don't know enough about most other religions to know what their specific response will be, but I doubt that aliens landing in the parking lots of their houses of worship right before services will do anything other than create a parking issue.
Now, as to the rest of your question:
Let's address your first statement, "...the military shooting over a hundred thousand or so it would overwhelm area healthcare systems and be difficult to treat survivors ...".
What survivors? Do you really think there'd be survivors? If that many people try to storm Area 51, they won't be shot. They'll be cluster bombed by F-16's. No one will survive. You won't have 100K survivors. You'll have 100K corpses. Some napalm after the fact will burn the bodies to a crisp, so no need to worry about decomposition. Their charred remains will be left in the field as a warning to others.
What impact do you think it will have on the world? That many freeloaders no longer an issue? The US economy would improve overnight. I don't know that the rest of the world would even notice.
No other country will CARE, btw.
Why you think this would, " … embarrass trump as commander in chief of the military in the eyes of the WORLD … " I have no idea. If he actually let 100K people storm a military base, THAT would embarrass him. If he neutralizes them, he's just doing his JOB.
There will be no overwhelming of Nevada's healthcare system since dead people can't be treated for anything.
A President has to commit a crime to be impeached. The military using lethal force to keep a top secret facility secure is NOT illegal. It is NOT a crime. There will be no impeachment. Democrats will rant and rave, no doubt, for votes. But there will be no impeachment.
Again … no massive disability. We're talking about DEAD people, not injured people.
But don't get TOO worried. There's no way the bunch who's pushing this can POSSIBLY organize 100,000 people. I don't think they can organize 100 people. I seriously doubt this is going to happen.
Understand this: The Area 51 compound is roughly the size of CONNETICUT!! Seriously. The actual hangars and such are so far from the perimeter that the Airforce will have ample time to respond. The people pushing this on Social Media are just CLUELESS.
In all likelihood, even if 100K people did show up, they're likely to scatter and flee after the first volley of warning shots (which I'm sure will be fired before the F-16's carpet bomb the crowd). I don't see 100,000 people of this ilk risking DEATH for this. I'm sure that once they understand that this could get them KILLED, they will turn around and run home as fast as they can go.
Edit to add: Even if I thought there WERE aliens there, I would not risk my life to see them.