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They only have an effect on the large scale by their combined gravitational field, like in spiral galaxies and other large scale dynamics.

According to Newton, that's not possible. If there are just a few of these 'wimps' then they'd get trapped in Earth gravity or even my gravity. Eventually there would be a huge 'mass' of these 'wimps' all coalescing around Earth, me, and my carpet.

Nothing can 'weakly' interact gravitationally. Gravity either affects something or it does not. And if these 'wimps' have mass, they have gravity and therefore would be subject to Newtons Laws.

Ergo, 'dark matter' is a bunch of made up hokum so astrophysicists can 'explain' something they can't explain.

It's bunk.

"If there are just a few of these 'wimps' then they'd get trapped in Earth gravity"

They're flying way too fast-close to the speed of light. Since they are non-interacting otherwise, they fly right through the Earth unhindered. They can fly right through a neutron star unhindered. They would only be captured by black holes. Otherwise there orbits are around the black hole, or around objects the size of galaxies.

Neutrinos, which come from nuclear reactions in the sun interact sometimes when they hit the Earth. They can do that deep in the Earth, because they interact via the weak force. Since their mass and x-sections are similar to axions, they otherwise fly right by unnoticed

"Nothing can 'weakly' interact gravitationally."

A dimensionless coupling constant for the gravitational force between 2 electrons is 2*10^-45. The electromagnetic coupling constant is 1/137. So the force of gravity is 43 orders of magnitude smaller than the EM force. The force of gravity is only large on Earth, because of the mass of the Earth. Notice space walkers need ropes, else they'd easily wander off into space. their ships gravity is not large enough to bring them back anytime soon, even from a small push. The astronaut and his ship are still a sprung system, with gravity as the spring, but the escape velocity is very low. If they don't make that escape velocity, they obit each other at huge distances, or the period of oscillation will be huge. If the Earth wasn't there, If the Anaut forgets his rope, I could imagine an Anaut coming back to bounce off his old ship every 500 years.