It's probably too much caster on at least one side. That's something I've got to get sorted (seized adjusters), but braking deeper into left-hand turns gets round it for now.
Another thing that makes it worse is cross-toe at the rear; it creates a thrust angle & makes the car more oversteery one way than t'other. That might be your problem if initial turn-in seems consistent.
I'd recommend a good alignment (an often relatively inexpensive 'fix') if you otherwise like the car & see where you go from there...
Nick
“I find myself irresistibly attracted to cars that nobody else buys. The NSX is a classic of the genre because nobody buys it and yet it’s a fantastic car. It’s got a wonderful compactness and simplicity and unpretentiousness to it. Honda rudely continues to make them whether we like it or not, even though there can be no commercial logic in doing so — I thoroughly admire that.” Rowan Atkinson