If there are 4 other undefeated conference champs and and undefeated ND, ND will not get in because one of the criteria is conference championships. This all things being equal, any team in consideration vis-a-vis will have a championship and ND won't. So ND would have to be clearly better than a conference champion and this year's SOS won't be helping us in that regard.
We'll likely never know because it is highly unlucky to have 5 undefeated teams at the end. And, in the end, we have no friends in that room and no one is going to be arguing for ND over any undefeated conference champ because the next year it could be them.