What should it be replaced with — a system where no one retains intellectual rights over the works that they create?
"Use another person's thoughts" is obfuscating the reality of the situation so far as to be disingenuous. The way society ensures new works are created is to guarantee a temporary monopoly over certain narrow types of ideas to their creators. Why would anybody be an author if everyone could download free copies of any new book that came out?
I think patents are granted too liberally, and that copyright lasts at least twice as long as it should, but to argue that intellectual property can't even in theory be beneficial to protect is silly.
Consider existence of services like patreon where people support creators they respect before are able to get to know the work of the author - no intellectual property rights are needed here.
Less harshly, if we want to have that kind of world, we're not going to get there by abandoning creatives by removing intellectual property protections as the first step. Within the current society, intellectual property law does more good than harm.
But besides that, I don't think a universal patreon-like support system is even ideal. I don't want to provide ongoing support for any creation/creator I appreciate. I like being able to just buy a book.