Well, first of all, with our currrent understanding of physics, reversing entropy isn't even theoretically possible. Second, solar fusion has been happening for billions of years. It's how the sun works.
Yes, but advanced physics systems like string theory have been building up logic systems for a long time.
These logic systems can solve problems statistically.
The main problem with current solar fusion systems in labs is that a greater proportion of energy is lost than gained. And yes, scientists can gain energy using tiny amounts of matter.
Many problems can statistically be resolved, that's not the problem. The problem is that it needs to be solved realistically. We can't magically grab a giant ice cube out of nowhere like in Futurama, even if that would statistically solve climate change.
As long as you actually support getting funding to these people and actually support implementing when their solutions are proven to work. Starting with the solutions we already know currently work. If you're not a scientist, it might feel the same as just praying for something good to happen. Just understand the people in white aren't going to come out and say "we solved it all". Have realistic expectations.