Without any software (no Illustrator, no PageMaker, no Quark, no Office), the PC-Mac system wouldn't be able to do anything but disappoint users. Porting all that software would have been far more difficult than just starting over from scratch. By the mid 1990’s, Apple realized its 1984 Mac OS needed a major overhaul anyway. Convincing developers to do the 20% of work necessary to get 80% there on PowerPC was difficult enough, and the new chip architecture seemed the the best foundation for building a new OS. The Pentium carried too much archaic legacy of its own.
Finding Processor Independent Nirvana
The original goal of NeXT had been to build software libraries that would run on other operating systems, so the idea of not being tied to any specific hardware ran through NeXT's architectural design decisions on many levels. The end result was that NeXT's software was more portable, by design, than anything else like it, ever. Of course, there was also nothing else like it, either.
They applied lessons learned at NeXT to work harder at building third party support behind the strategy, and ended up dishing it out as Mac OS X, the obvious replacement for Mac OS 9. Mac users migrated to refined, "Carbonized" versions of their existing software, while Apple encouraged developers to start using the more advanced Cocoa frameworks they had acquired from NeXT.
Along the way, a few things happened: First, while the higher level APIs from the Mac (procedural Carbon libraries) and NeXT (object-oriented Cocoa frameworks) remained fairly distinct, their lower levels merged into Core Services. It incorporated support for Apple's existing technologies, which changed things dramatically from NeXT’s Foundation. Apple also rebuilt the display system using entirely new technology based on PDF imaging, and invested significant efforts into improving and modernizing the kernel, which similarly mixed in both Apple and NeXT technologies.
The result was that, while Mac OS X had far more in common with NeXTSTEP than System 7, it wasn't NeXT's old OS anymore. There was no Display PostScript, and there were no OpenStep compliant frameworks that could be easily ported to other operating systems. Apple had built a project to suit their own market's needs, not a scatter-gun, speculative project hoping to find a market, which had been the business plan NeXT had struggled with over its tortured existence as the red headed stepchild of the tech world.
Apple still suffered from the Star Trek problem: they could not move Mac OS X to more commonplace hardware and take advantage of the economies of scale in the PC industry until they'd weaned their Mac userbase off of the Blue Box (for System 7 / OS 9 compatibility), which was still tied to 68k emulation. They had to induce the migration of the majority of Mac software from Classic to Carbon. The secret card Apple held onto was developing Carbon libraries to be as hardware agnostic as the rest of NeXTSTEP had been.