I say go for it too - sometimes different firms/insdustries pay a lot more for similar types of roles.

When I've had some 'big' interviews in the past, I've done a lot of research into the company and the role and then really worked on being able to demonstrate with concrete examples of what I have done in previous jobs to meet each of the selection criteria. If you can't find a direct link, then look for a parallel one and explain why it's relevant. Write all this down so you can refer to it in the leadup to the interview and there's nothing wrong with taking a sheet of notes with you. This can include key points you want to make as well the questions you have for them. Just the process of doing all this (yes, it takes time and effort!) makes you feel more confident about your skills and experience. Good luck!