It will solve all of our problems for good and after it's implemented across every ISP, everyone will live in an interconnected utopia without NAT and other obstacles getting in the way of direct P2P communications across any device. /s
It will at least address the NAT problem. Theoretically, if ISPs truly embrace it, it will also open up the possibility of direct P2P communication across most devices on the Internet. Can't remember if there's a standardized protocol for IPv6 like UPnP but if not you can just configure your firewall manually. Of course, that's assuming ISPs allow you to do so.
Tbh, I misread your OP and I somehow got the idea you were talking about NAT. Static addressing is also a problem but a smaller one. In fact, IPv6 probably does nothing to help here, and may even make the problem worse with address randomization (which is a legitimate privacy feature, but still).