Yes, 1/2" is a major problem in ride height. Without getting into the long and short of it, let's concentrate on the big stuff.
First, set your ride height. Thou shalt disconnect sway bars to do this correctly.
Only if your ride height is good can you get your car to handle well. You need to get it much closer than 1/2".
BTW, a car that is low in left front and right rear means it is high in right front and left rear. This car will push like a dump truck turning left and may oversteer badly turning right. The opposite of your alignment is what is used for oval racing, btw.
If you have the equipment necessary, I'd get corner weights taken also. Depending on how far off the corner balance is, you may sacrafice some ride height equality for some corner balance equality. But, to suggest numbers is beyond my experience with an NSX. If you can show us the numbers, I'm sure others can help.
Only after ride height/corner balance, then, go to alignment. The manual explains the order of what to set first and next and so on. Its also on NSXPrime so I won't repeat it here.
Your mechanic should at the least set the alignment specs equal on each side. IE left front should be real close to right front and same for the left/right rear. Your numbers are not equal left to right. You car appears to be far enough off that you will get uneven and accelerated tire wear and likely your car will pull to one side.
It is a major pain to do a full NSX alignment if things are way off. I can't say if your mechanic was rushed or what, but you guys have a little work to do. The good news is that it is only labor that we are looking at now - not like you need to buy expensive parts (as far as I can tell).
Adjustable spring perches (coil-overs) make your car MUCH more complicated to set up and align. It is complicated and takes lots of labor (time).
Hope this helps.