1. I understand the desire to stay independent. ND has been able to stay on national tv sets for decades and has a recruiting advantage as a result. If you join a conference, you will become another team in another conference. Obviously, you could still be fine and you would position yourself better for making the CFP, but your name is a brand and not many other schools can claim that. That comes with the price of being seen as elitist and hated by many opposing fan bases.
2. Nationally, it is a no-win situation for you since we are not as big of a name as you would like. We are slowly changing our image and are going to take exception to being under-valued. Having some of those insufferable douches publicly dismiss us is going to ruffle our feathers. We've watched some horrible football for most of our lives and are a fan base with a chip on our shoulders.
FWIW, my father is a huge ND fan and I grew up watching ND all the time. I've been to a game in South Bend and had a great experience. I root for the Irish most times, but not this time. I bleed cardinal and gold. I've seen a lot of both teams this year and I think this will be a really good match-up.