Not exactly. Majority parties tend to lose some ability to stay together in lockstep. They wouldn't be able to guarantee 51 votes to oppose a Republican President's judicial picks, so they might want to get the filibuster option back again.
This is all supposition. I suspect the Dims will not filibuster. The Gang of 14 agreement expires in 2007, and they might want to retain the option for the following two years, just in case.
This nominee does not bring a sea change to the USSC. Yes, he provides a one vote change in the balance, but one more strict constructionist vote doesn't guarantee any future decisions at this point. One more after that will, and that added vote could be the replacement for Ginsburg or Stevens.