The answer is no. The Bullitt uses a 600 front spring, way lighter than the H&R Race, let alone the Super Race springs. And even at that the Bullitt dampers weren't great for Bullitt springs.
Do yourself a favor and don't skimp on the dampers, the results are never ideal.
7x SCCA National Champion + 7x SCCA ProSolo Class Champion, 2009 SCCA ProSolo Overall Champion
I drive them, I compete in them, I sell more variety of brands than any other company.