Ok, say, for example, that scientists could prove God existed or didn't exist; or if scientists could prove that our minds have a direct impact on what we experience day to day. Would that make things better or worse?
Say that scientists could prove that Higgs-Bason Hydron Collider actually worked the way they expected it to; which is supposed to destroy all life as we know it at the same time as creating new life to replace it.
Say that scientists could actually define dark matter as what we have heretofore known as spiritual energy and that there were specific ways we could interact with it. Would it make things better or worse?
Knowing human nature and curiosity; a lot of what is unknown is better left unknown and unproven due to the dual nature of positive and negative consequences thereof.
What if Scientists were finally able to prove that all of our old religions and mythology actually stems from aliens. There is decent evidence suggesting such; but no concrete proof.
The world relies on having some things unknown at the same time as having other things known. The balance that is created from that is inherent to our growth and our mindframe.
It'd be very easy to say that solving these issues could revolutionize the world; but what of all of the die-hard fanatics that would contradict it and fight against it.
It's like fighting an enemy that only wishes to watch the world burn (See Batman: The Dark Knight); by continuing to examine and interact; you make things worse by pushing them to a place they would not have been without said interaction.
Given the nature of human beings and our curiosity, though, these things will eventually be grounded out in fact; or what we deem to be fact; much the same as old world beliefs have been ground out to make way for new advances. The question of whether it should be done or not never occurs to a scientist, because they're all about the discovery. Hence the biggest blunder of the 20th century; the Nuclear bomb.
Then again, if some of the theorists are correct and there is a certain randomness inherent in everything; which Einstein fought against and found the notion to be silly since he was highly grounded in mathematics and that everything could be solved if we only knew everything involved; then the things we believe now are flawed as well.
And there is a certain randomness that can't be predicted or added into things because there is no known quantifiable equation for it. Our data now is compromised because of it.
To be able to solve things is the general premise behind Science. To calculate and experiment and to solve. By pushing to solve the unsolvable we end up at a crossroads and wind up overthinking when the best possible solution is to go with the flow and let it come naturally.
We, as humans, cause so much damage with idea of 'if it doesn't fit; cut off a piece and make it fit' ideology, whereas we could affect a lot of positive growth by picking and choosing our battles and by having a well-rounded education of all things to get a better understanding of why some things are just better left alone.