When I was in high school, I showed Remembrance to a group of my friends who had never seen Doctor Who before. During part 1, when the Dalek first showed up, they laughed... but by episode 4, when the special weapons Dalek showed up, they cheered... and would leave shouting "EXTERMINATE!" The only bit of continuity that's actually off-putting is Davros-- no one really explains who this head is or what he's doing. Everything else (the 1963 setting, the references to Revelation) seemed to slip under the radar.