As I've noted previously, the filibuster according to the Senate rules is constitutional.
Removing it now would simply give the Republicans too much power, and removing it without breaking the Senate rules (IOW, the debate on the filibuster could itself be filibustered) would seem difficult.
Most Americans want the Senate to be more than a rubber stamp for the president (which is after all what the constitution indicates); now I might think differently if a Democratic president was in office after a slew of fascist judges were appointed, but the reality is, if the Repubs do this, it will bite them big time. Most Americans, when informed, soundly repudiate the extremist Republicans.
So next week's Frist-fest should be interesting, if today's reports are true. Hopefully, democracy, the rights of the minority, and the rule of law will prevail.