Blind people have the same rights any of us have, even thought it may not make sense to us. If you deny them rights, then you start chipping away at rights for the rest of us.
The laws already exclude felons, underage minors, and mentally ill from owning firearms. If there is data to support the argument either for or against the blind owning and using guns, I've yet to come across any. Until then, making a broad statement about chipping away rights for the rest of us doesn't sway me.
Common sense says we should require proficiency testing of ALL carry permit applicants, which many states do. I don't believe many, if any, blind applicants will be able to pass.
As for simple firearm ownership, I say ALL people have a right to own anything that is legal. Who says it's for the owner to shoot? It could be for collecting or other legitimate purposes.
I'm pretty sure a blind man will be allowed to own and register a car, even though he also needs a driver to operate one.
Just as there is no absolute on what is "common sense" when deciding how to restrict legal rights, neither is it an absolute when it comes to deciding that something being labeled a "right" trumps all other arguments.