You cannot do the experiments without math. We both know this. We must have a predicted value for an experiment. We must use math to create the experimental apparatus. We must use math to examine our results and to look for acceptable error bars.
Education is absolutely a finite resource. We have finite universities and finite educators. The lifetime required to attain an education is also a finite resource, as you simply cannot have a workable society while also requiring that everyone get a PhD in anything they have an "idea" about.
Limitations about. We must make choices against them. We could do quite a lot of particle research should we decide to disassemble the solar system and re-purpose it into an accelerator, yet I will gently suggest that this proposal will not achieve much traction.
However, knock yourself out. You can manage to join IRC and fight against classism by spending your time working to support the ideas of people whom you will not call cranks. Prove me wrong by doing it for the next ten years. Time isn't a finite resource, right?
You still will not engage with the most basic thrust of this: we cannot entertain everyone's ideas simultaneously and decisions must be made as to which are examined first. Anything but that is some form of -ism because you have a selection criteria that might ignore an idea.
So we are left having to come up with some kind of heuristic to examine some ideas and not others. This is the scientific method. Is your idea testable? And if you claim it is, what values will we measure that are different from what currently exists?
Propose your alternate method. Then, tell me how you are going to exclude the people who, say, want to glue crystals to engine exteriors to improve the combustion efficiency, without anything seeming even a trifle discriminatory.