Ahh ... how bout you not ... and never mind filming nothing while going fast with that much play in your steering ?
It's not safe, there is something wrong, 2 inches, one inch, doesn't matter, there is not supposed to be any play in the steering what so ever.
Was it like this before you took it to this shop ?
Was it like this immediately as you left the shop or several months later ?
Dude, get it checked out, it's not safe, we really don't need to see a film clip of you at higher speeds illustrating the play in your steering wheel.
We can put two and two together and think of an out come.
If you paid large money or even any money for a certified shop to perform these kind of repairs and that is the end result, you call them and tell them to send a flat bed tow truck and demand they fix it correctly or you will threaten to have it inspected by a DOT office for compliance, see how fast they jump.
Mind you, this is based on the information you told us that you had a shop do this work and not yourself ... and the fact that they let the car leave their lot after you paid for services rendered.
Good luck with it all but I wouldn't continue to drive that LS with that much play in the steering.
Like i said, accident waiting to happen, something lets go, you are taking a sudden turn left or right and it's going to have consequences.
Fatal or not will be lady lucks decision not yours.
STOP driving it and get it FIXED. (please!)