I'm pretty pleased with the way it turned out. I have high hopes for the outcome. It's always possible that someone twice as impressive as I am will come for an interview the day after I go home, but there's nothing at all I can do about that. I will go so far as to say that I put the bar up pretty high for my hypothetical competition. I've also heard that they do indeed have funding for this position and are looking for a person to fill it, as opposed to interviewing someone for whom they might try to find money if they're sufficiently impressed.
So now I wait. The paperwork to generate an offer letter is waiting on someone who's presently on jury duty. Here's hoping for a short trial.