NoHyperbole

You and I share many similarities. I too have a 2014 Sport/Touring on the OEM Bridgestone RE050 tires (now at 18,500 miles and 90% worn), and you've described exactly what I've been experiencing the entire time I've owned the car. Further, my previous car was a 350Z that never exhibited these traits, so I understand where you're coming from.

Regarding what you've called "bump steer," here is my take. When driving straight on road with a bunch of minor imperfections, if I take my hands off the steering wheel, it will "dance" or shimmy side to side, although the car will generally track straight. When I hit a moderate to major bump with one front wheel, the steering wheel will do a quick left-right-left (or right-left-right) shake. Again, this is something I never experienced in my 2007 350Z. My thought is that the extra caster in stock 350Zs (around +7.0) versus 370Zs (around +5.0) is a contributing factor in reducing this steering trait.

As for the sensation that the (front) tires are slipping during slow-speed turns at full lock, I know this sensation well, although it seems to happen only when the ground (after rain) or tires (after car wash) are wet. Do you experience this in dry conditions?

As for alignment specs, my numbers on the OEM suspension are as follows:

Camber: LF = -0.6 RF = -0.9 (non-adjustable)
Caster: LF = +4.7 RF = +4.4 (non-adjustable)
Toe: LF = +.05 RF = +.05

Camber: LR = -1.6 RR = -1.5
Toe: LR = +.10 RR = +.10

What are your alignment numbers? I'm curious to see if they differ greatly from mine.

I've tried taking the car to the dealership to have them investigate this issue, but they don't seem to think anything is abnormal. You and I both know something is not quite right. I wonder if this is an issue only a certain number of 2014 Sport/Touring Zs have.