First of all because extradition is handled in the courts, not the parliament. And given how popular he is in most of Europe it would surprise me if any politician want to touch it. Helping the US would ensure political suicide.

And come on, snatch and grab inside a sovereign state, that is a close ally and with all the media attention his has. You don't really need to be an intelligence service to notice a guy like Snowden suddenly disappearing.

Ask Israel how much we like it when foreign states interfere within our borders. They are still more or less out in the cold after they executed the wrong guy. A Norwegian citizen, within Norwegian borders. You just don't do that.