After pressing the balancer/damper on to the crank it bottomed out, and I'm not sure the depth is correct.

I used an install tool, and the thrust bearing was in front of the washer (not as pictured), and followed that by torquing the old bolt to 240 ft/lbs. This is as far as the damper will go.

Do the belts line up??

Looks like I'm good. The spec is apparently between 0.094" and 0.176". If the belts are off when I put the engine in the car I'll address it then.

Let us know how the car runs afterwards. I also have a 10% underdrive Horschel Fluidampr that I haven't installed yet. I was kind of bummed out after reading that some cranks were being destroyed with Fluidamprs (I have no first hand experience with failure, and the one on my truck works fine).

The quality of their dampers feels amazing. It feels closer to one of my machine tools than the elastic band brands that slap some paint on the cover and send it.

Did you do any other 'while you were in there' mods? Like the oil pump?

Nah, this is a crate LS376, I'm only doing what it takes to swap it in to an LS1 car.