Nick Griffin's electoral success was not killed by his appearance on Question Time. In fact, a bunch of minority political positions have had a good deal of political oxygen from BBC appearances: I'm thinking mostly of Farage in the dog days of UKIP's popularity and also the Spiked!/Institute of Ideas collective.
Griffin lost largely because there was factional instability in the BNP and then the rise of UKIP stole the non-fascist right-wing to far-right vote.