Sorry OP, this is naive on every level, economic, political, environmental, psychological, etc... Every assumption you made to form your proposal is incorrect.
You need to do a bit more research into the fundamental mechanisms of Bitcoin. Read and understand the white paper (it's widely available and widely talked about). Namely the game theory behind why proof of work is so powerful and compelling. Also some research and intuition building into how big numbers work, human psychology, group dynamics, the foundations of political theory, and the history of economics would help answer your questions.
To address your plan, step by step:
Gamers aren't a united front. They're not that pissed off.
Bitcoin and crypto aren't causing crime (weapons don't cause crime, humans use weapons to commit crimes when they have an opportunity and a motive) and their negative environmental impact is minimal compared to, say, big oil. You'd have to look at where the electricity comes from for each miner to do that, and nobody's done that as far as I can tell. All I've seen it total electricity use, not source of said electricity. Some of it is renewable and/or carbon neutral.
If they did get together and start a mining pool they would likely keep the money they make. It would take a severe pathology to form a huge group and then burn money. The electricity used to mine those coins costs money.
It does happen but it's astonishingly rare:
https://en.wikipedia.org/wiki/K_Foundation_Burn_a_Million_Qu...
Nobody is going to deposit their coins into a write-only wallet.
Those useless transactions wouldn't take up a lot of block space. See again about burning money.