You pretty much have to have a POSIX compatibility layer just to support stuff without resorting to VMs.

That said, there is a lot of room to innovate in OS/userspace boundaries that don't rely on POSIX APIs--see epoll/kqueue/iocp for one place where this innovation already occurred. I'd love to see better alternatives to POSIX signals, for example. So an OS that treats POSIX as a mere compatibility layer and not the primary driver of its design could be welcome.