In my twenty plus years of working in libraries I've come to believe there are basically two types of librarians, and I have two anecdotes that I think sum up the differences. The first is the time I apologized to a reference librarian for having so many questions, and she almost yelled, "Don't apologize! It's what we're here for!" The second is the time I told a cataloger that, as a patron, I appreciated what he did, and he replied, "I don't care." This was someone who made "If I wanted to help people I wouldn't have become a librarian" part of his email signature.
The fact that you think you've only encountered the latter type doesn't mean that the former doesn't exist, or that librarians are completely useless. If you can do without librarians, great, but don't presume that the rest of us no longer need them.
Regarding rare, valuable, or even just standard out-of-print items, many university libraries try to hire people who have both training in information science and a background in another field that's relevant to whatever part of the collection they oversee. But let me describe another two librarians, in this case library directors. One was a director who believed the internet was a tool that could be used to make rare, fragile, or valuable materials available to everyone while preserving the originals. For him at least part of the library's role was making information available to the public. The other director believed the internet would make libraries obsolete. He predicted, in the mid-90's, that in as little as ten years libraries would cease to exist. He slashed the budget for building repairs, and had to finally be forced to provide enough money to build a crappy wooden ramp that would make the library handicapped accessible. Even though he was a library director he firmly believed libraries were a money pit, even for colleges and universities, since every piece of information anyone could possibly need could be found on the internet for free. Although he also said that if people needed information they should be willing to pay for it. Rather than libraries he felt private corporations should be the gatekeepers and arbiters of information.
So, if you really think the latter director was right, then, yes, by all means, let's get rid of librarians and libraries.