Althooooough...
You could maybe get an Ickean, if not Icke himself, elected into the HoC as an MP. That might be doable, because I know that Ickeans have had some bit of success in getting themselves involved in more mainstream political parties.
In Canada, for example, they've had some affiliation with the Action Canada Party, a conspiracy-minded "anti-globalization" party founded by a former cabinet minister. And I know that at least one former candidate from Action Canada(though maybe not an Ickean himself) ended up running for a provincial conservative party in Alberta.
The thing is, Ickean rhetoric, when it manages to stay away from the space-lizard conspiracy stuff, can sound pretty much just like mainstream populism. I'd imagine there would be some members of the Labour Party or maybe the UKIP who could be duped into nominating an Icke-follower as candidate in their riding, if they didn't delve too closely into his background, and didn't know which dog-whistles to listen for.