When I saw the ad I immediately though of the Komsomol (Soviet Youth Org). See: http://en.wikipedia.org/wiki/Komsomol .
Personally I think that is a more fitting analogy, and that Coulter goes over the top (shocker!) when she compares to Hitler Youth. Obama is a hard leftist to be sure, but as much as I don’t like his politics I don’t think he advocates a master race or wants to round up people different from him and exterminate them wholesale.
Exterminate people wholesale? He’s already for that. He’s for euthanasia and abortion.