Well I know you can do the swap with the newer 93-02 spindles. It requires you grinding off a nub off of the spindle to put on the mounting brackets for the corvette calipers. Here's a link to UMI's website that sells them:
http://www.umiperformance.com/c5conv.aspx
If it won't work with your spindles, then all I'm sure you would have to do is find a newer set of spindles and use them.