Hi Josh.
To get on the shortlist you must already appeal to the consultancy. They know that a lot of job applications are "juiced" up to make the applicant seem irresistable .So now they want to see the REAL you and of course the others.It is probably to your advantage that your Masters was in a different area to your degree, probably suggesting a better rounded education.DON"T gush. I sense that you are extremely keen to get this job as you say you are the right person.So tell them that in your best statesman -like manner.Show your interest through speech and body language,but don't over-egg the pudding by seeming to be desperate.Let them realise that you're as interested in what you can do for the company as what they can do for you and except for the cynics they'll be eating out of your hand!!
P.S. look like a legal consultant.