My car wants to pull to the right and is also reluctant to return to center. I had it aligned and the alignment shop took out all the shimms on the right. They say the alignment is in spec. It is better, it will run straight on some roads, but hit a bump or uneven surface and to the right she goes. I worked with the steering backlash, adjusted it a trun and 1/2 out. I could feel more slop in the steering wheel, but still dosn't want to return to center easily. It is really bad at retuning at slow speed. It won't return to center at all. Any thoughts?

Maybe a dumb question. How is the tire pressure? Or...
Check to see if the steering control valve is centered. If it's not balanced/centered the steering will become sluggish or won't return to center. The steering control valve controls fluid pressure to the steering cylinder.
It also may be leaking internally if it won't balance/center out. Fluid pressure can bypass a leaky internal seal causing resistance on the opposing side.
Disconnect the end of the steer cyl. from frame bracket.
Remove the dust cap off the control valve. There is the adjusting nut under there.
With the steering wheel centered. Start the car and see if the steer cyl. rod drifts. If so, turn the adj. nut until the cyl. starts to move the opposite direction.
Mark that spot. Then turn the nut the other way til the rod starts to move the other way.
Mark that spot. Then turn the nut halfway between the 2 points marked. That should balance it.
If it still drifts back the original way, I would consider replacing the control valve. And while your at it, do the steer cyl. it's probably got debris in it from the control valve seals that are disintigrating.
That's my .02 cents
Sarge

I say your IM, but your post adds a few facts. So I'm with Sarge on this one. Check the valve first.

The cylinder and the valve are leaking so I ordered up a new cylinder and valve. Ho, Ho, Ho. Merry Christmas to C3r's

bushings, balljoints, wheel bearings,bent or broken lower a-arm attachment brackets, shocks,bent, broken,flexing upper a-arm bracket, rear tracking, toe, camber,bushings, bum alignment.

Get the latest issue of Corvette Fever. In their shark attach front suspension rebuild they identify things you should be on the look out for. A lot of it was weld cracks and cracks in the frame where the steering box mounts that can cause your vette to feel out of control. I think there is even a technical question in the back under the 68-82 section they do about this.

They also mention something about offset camber rods? that should be used if there are no shims being required to correct alignment issues. I didn't relize there was such a thing for our vettes.

After Shark said: They also mention something about offset camber rods? that should be used if there are no shims being required to correct alignment issues. I didn't relize there was such a thing for our vettes.

I installed a set of these offsets on my last vette..

the other way to correct this is to jack up the car by the front main crossmember and heat it.. this will cause it to flatten somewhat which will spread the front out further.. which gives you more camber adjustment.