I think the new NSX is just a very different experience. I doubt that you'd confuse one for a GT-R if you were in it. We have a few folks here who have driven both, I'm sure they'd weigh in.
Not denying that they provide a different experience. My point is, given the lead in time and all that complicated tech in the newer NSX, you'd hope that it would at least comfortably beat the GT-R which is based on a platform launched in 2007. But from all the acceleration/laptime tests I've seen they are neck and neck. Handling wise it's good but again nothing special (and some reports understeer due to the front motors not being strong enough to vector in the nose at high speeds). Whereas the GT-R has been described as feeling very analogue and fun despite all the tech and weight.
So we have 2 Japanese halo cars, similar weight and power, similar performance. One is cheaper and has proven track record while one is pretty much a tech demo. Which one would you choose? I think it's clear unless you really wants that hybrid experience or a Honda/Acura fan. It pains me to say this but the new NSX is a big disappointment. I'd rather take the new Supra and use the leftover money to tune it to comparable performance to be honest.
*Waves*
Driven '92, '94 and '05 NSXs plus the new one (all on the road), and a '99 R34 GT-R (road/track), as well as something like seven or eight R35 GT-Rs of various descriptions (standard, mildly modified, Nismo, again road/track).
In very basic terms, I love them all. The original NSX and R34 GT-Rs were very special experiences given I grew up "driving" them on GT, and the modern GT-R and NSX are incredible and massively potent works of engineering.
For me the lineage between the Nissans is slightly more obvious in the way they drive - an R35 feels like a particularly extreme version of an R34 to drive, whereas there's little shared with the way the old and new NSXs drive - but I think the similarity with the Hondas is more nuanced.
One thing I've seen a lot is that the original NSX was some kind of focused, pure, relatively simple driver's car. And while it is, that's not because it was designed that way as such, but because it's a product of that era. People kinda forget that actually when it arrived it was fairly tame and easy to drive. Always a great car of course, but even the Ferrari 348s and Porsche 911s that the NSX was objectively better than in a lot of areas were often commended for feeling more special, having more feedback, being more focused etc.
Viewed in that context the current one is a lot closer. It's still fairly compact (like the original), it uses the best technology available at a sensible pricepoint (like the original), and it performs as well as more expensive vehicles (like the original).
The R35 GT-R is almost an anomaly, in that it took such a massive performance leap only relatively shortly after it replaced the R34. Let's not forget, the R35 is genuinely now a product of a different era than a modern NSX, or Supra, or whatever - it's over a decade old. It might be considered an advanced car like the NSX, but it's actually now looking pretty simple by modern standards!
I think one important thing that people forget about an R35 or a modern NSX too, particularly from those who've not driven them, is that when viewed purely as sports cars/supercars rather than cult icons or follow-ups, they're so much better at doing what they were designed to do than those early cars. An R34 or original NSX would take quite a bit of tuning to get anywhere
near their modern equivalents on a track, for instance.
A modern GT-R or NSX has ridiculous levels of performance, braking, precision, grip, traction etc, and are quite remarkable to drive in their own right - I think they're often just unfairly held to much higher standards by people who grew up wanting the originals (mostly with no experience beyond videogames and Youtube).
For avoidance of doubt, my dream garage would have examples of all four. And I suspect the new NSX would end up being the car I drove daily.
The latest one, is like me wanting a Countach back in the 80s as a teen(ain't gonna happen today). 
) and has god like handling with clever aero/suspension (on the level of Lambo's ALA and McLaren's Proactive Suspension), and still managed to keep the price below $150,000, then that would have been a worthy successor.
