We moved our machine which had neverpreviously had a problem with FCP 6 even though we use an NVIDIA GeForce 7300GT card which does not support Quartz Extreme.
Suddenly we couldn’t open FCP, Compressor etc, with the message that we weren’t using a Quartz Extreme capable card.
We found a solution on the Blackmagic support site, which worked for us.
https://www.blackmagic-design.com/support/detail.asp?techID=184