False premise: Most librairies in the United States were funded and built by private philanthropy. See: Carnegie Library
>"Sometimes you can even take the books to your home!"– Now imagine libraries didn’t exist and some politician came around proposing we create libraries exactly as they are. What would you expect to happen? I can tell you what I would expect to happen: Nothing at all: What about the authors and publishers? What about the bookstores! People will just steal and/or destroy the books! People don’t even read anymore! I am quite confident they would never get built in any major western democracy today.
If it's difficult to build libraries today, political will is not a limiting factor. Rather, technology has slowly but surely rendered the storage of dead trees as obsolete in all but a few circumstances (i.e. archival analysis) Just as we stopped using street cars when buses and cars proved to be more maneuverable and efficient, one shouldn't advocate a reinvention of the 19th century library simply because it delivered a unique benefit once upon a time.