Wrong.
The "face" of the Democratic Party is not the sum of all Democratic party members or voters. It's the people running the joint out east, who talk to the newspapers, make the policies, and draft the platforms and legislation.
Democratic Party policies and agendas are set at the top, and distributed to the bottom, where people can take it or leave it.
Same is pretty much true of Republicans.
It's only at election time that the faces can be changed, and it isn't easy, considering the hoops that have to be jumped through just to get on a ballot.