Could be 2 separate issues. The moving issues might be a different problem. If the front wheels feel out of balance it could simply be that or perhaps bad alignment.

You should check two safety concerns.
1. If the wheels feel really floaty it could be bad ball joints or hubs. I think your car might have hubs that incorporate the ball joints. One test is to slam the brakes at a fairly high rate speed if it pulls a lot you need to replace them ASAP.
2. Bad tie rod ends. That can cause a floaty feeling too. Quick test is to drive over broken pavement or a smaller hole. If it bangs sharply then you probably need tie rod ends.

Both can be easily tested if you put the car on a lift. Or if you or someone else can SAFELY jack up the front end and test them.

Since it is a new car to you it is a good idea to check them out. Peace of mind!

I agree with you. The idling issue doesn’t sound like u-joints. Did the shop check the transmission mount too? A bad one of those can cause your idling issues. That needs to be checked. You should also check all the engine mount brackets you mentioned in your previous post. If one of those are broken that might allow the engine to shift.
--
Will I buy another Volvo??? We'll see....