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Mike,
The rotor/spindles were riveted and then turned so the rotor would be concentric with the spindle and not have any runout issues. You don't have to replace the rivets but they are available either as a part or service from the vette shops,Bair's, Van Steel,etc.
If you have new rotors or had the originals turned then you should check them with a dial indicator for runout. >.005" is the spec with as close to .000 as possible. If out then you may be able to shim but try moving the position of the rotor on the spindle.
I just did the rear rotors and bolt them together with flat head 3/8-24 screws but you don't have to do this either.
Gary
You don't need no stinkin rivits.
I understand that they put them in originally because the rotors are set to a very tight runout. They were set as an assembly and putting the rotor on in a different position may screw up that tolerance. Can't expect the guys on the line to be checking runouts as the cars go speeding by.