Nope.
Nope, no reasonable suspicion there at all.
I think you should read the law before offering this speculation.
I disagree – the argument in Hiibel was that if you were wanted, then giving your name was incriminating – basically what you’re arguing now with SSN. The court roundly rejected that proposition.
However, we can put some ambiguity to rest: there’s already an Arizona law that’s analogous to the Nevada “must identify” law: 13-2412, which obligates you only to provide your actual correct name. You can’t lie, or remain silent. So regardless of whether an SSN statutory requirement would be supported by Hiibel, it’s not in play here.