Imagine... if Neanderthals were still around today. How would society view them? Would they be social outcasts, literally, a caste of individuals destined for m

Imagine... if Neanderthals were still around today. How would society view them? Would they be social outcasts, literally, a caste of individuals destined for menial jobs (garbage collection, etc.)? Would there have arisen an extreme form of political correctness, denying any difference between the species because "we're all human beings"? That there would have been differences is clear, both physical - Neanderthals were much stronger than modern human beings - as well as mental, although it is unclear how those mental differences would have played out - Neanderthals had bigger brains than modern humans do.