The job of a person elected to a parliament is to produce new laws and public policy. It's not to simply vote on laws proposed by other people.
The general idea when contacting people should be: "I'm a member of parliament X and I'm writing a law on subject Y. I want to hear from experts on Y to have an informed idea of the subject. I think you are on of the important experts on Y, can I talk to you for you to explain to me your perspective on Y and your ideas of how Y should be legislated?"
When voting on subjects on which you don't have expertise you want to vote with other people in return to them voting for laws you sponsor.
Has no one else mentioned this on LW yet?
Elizabeth Edwards has been elected as a New Hampshire State Rep, self-identifies as a Rationalist and explicitly mentions Less Wrong in her first post-election blog post.
Sorry if this is a repost