Don't you people ever get tired of pushing memes that are untrue?
Obama defeated Ciinton by portraying himself as well to the left of centrists. The fact that he governed as a centrist has nothing to do with what got him elected. And the climate in the country is shifting. You and the DNC need to keep that in mind as well.
Besides, I would wager that about 80% of the country never heard of the DLC and has no idea that the party has changed. All they know is Democrats--FDR, Truman, JFK, LBJ, yadda yadda. New Deal, Fair Deal, Social Security, unions, civil rights, Great Society. Not mortgage derivatives.
Each party could run a hobby horse and they would get roughly the same number of votes, just based on the bitter partisanship that has been ginned up by both sides. So, please don't tell me that only a centrist can win. It's imaginary.