If no God, then the famous question of "what is the meaning of life?" comes about.
Randomness? If the rocks were a few centimeters off, no Earth?
Why does life have to have a meaning?
If I asked "What is the meaning of cheese?" you'd look at me like I was a bit weird. It's just cheese, it is because it tastes nice and people enjoy it.
Unfortunately, I think if there was 100% proof of no God, the world would explode, too many religious folk wouldn't accept it. I wonder what that press conference would look like though, which lead scientist would give the speech, etc.
As far as the Christian God, he's already logically impossible as described. It could be that there's something very similar that turns out to be the Christian God, but according to the definition that Christians give he cannot exist. This has been the case and has been known to be the case for quite some time.
If you ask a Christian about this, the answer you will probably get is "Because God" or some variation thereof. You know, the same answer you get to any piece of information that doesn't conform to their worldview.
The world would not explode, because Christians have been dealing with people telling them that there's no God for ages. It's hardly slowed them down. These are not the sort of people that would accept any sort of rational proof of non-existence anyway, they would simply say "nuh-uh" and carry on.
Is it "fairy tales" for them to believe in God?
No, they're just aware that there's a difference between belief and fact.
Is there a contradiction with belief and highly-educated people?
No, they're just aware that there's a difference between belief and fact.
I've met highly educated people who were believers in various faiths, and the thing that they have in common is that they're aware that it's a belief. They know that there's no particularly rational reason to hold any particular belief, but they do so because of whatever personal reasons they have. They like the community, they like the idea of the religion, they feel that it helps them be a better person, whatever.
There are good reasons to be part of a religion. The difference with educated people is that they generally don't pretend that it's because the religion is objectively true. They may think that it is, but they're unlikely to tell you that because they're aware that they have no evidence to establish that it's objectively true.