Would we buying a PC branded as an Amiga such as there are PC’s branded as DELL and Scan?
Like Apple, today's Amigas would probably be pretty much standard PCs branded as Amiga. However, also like Apple, marketing could still distinguish them from being "PCs". They might also have some minor differences so they weren't "IBM compatible" PCs as such.
The OS would either be one of today's existing OSs, or possibly they might do as Apple did, and modify another existing one. Either way, it would probably not be the classic AmigaOS. Moreover, I would _hope_ it wasn't, due to the deficiencies such as lacking memory protection. Do today's Mac fans wish they were still running the original MacOS, or today's Windows fans wish they were still using DOS/Win 9x, instead of the NT derived Windows?
Didn't Commodore have plans, shortly before going bust, for new Amigas to be using HP RISC processors, running Windows NT? If that had happened, the break from the "classic" line would have been far sooner.
If you want an Amiga of today, just get a PC, slap an Amiga sticker on it, and run UAE if you need some backwards compatibility. It's just as much an Amiga as today's Macs are to the classic Macs

SamuraiCrow wrote:
Management at Commodore towards the end was outright anti-Amiga and pro-PC.
But only in the same sense as Apple were "anti-Mac" for wanting to ditch the classic technology. However, no one looks at them this way. Similarly, if things had gone that route, no one would think of Commodore of being anti-Amiga (well, except for the few die hards who also thought an A500+ didn't count as an Amiga); rather, the new machines would be Amigas.
persia wrote:
The Amiga graphics card was built onto the motherboard so it couldn't be easily upgraded and they tried to do the speciality chips themselves. It was a closed system. There was no development money to advance the OS.
These days, an increasing number of PCs make do with only graphics on the motherboard, so in that sense PCs have become more Amiga-like. But yes, a Commodore of today would likely be using standard chipsets, rather than trying to make them themselves.