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I'm mildly surprised that prohibiting rematches got more votes than prohibiting games between teams from the same conference. 

From my perspective, I'd rather prohibit games between teams from the same conference because those are games we see reasonably frequently even if not that year.  For example, if Ohio State and Oklahoma played then re-matched in the CFP the same year I don't mind that.  We don't get to see tOSU/OU very often so I don't mind seeing it twice in a year.  On the other hand, if Ohio State missed Wisconsin in a given year I'd rather not see them play Wisconsin in the CFP because tOSU/UW is a reasonably frequent occurrence and I'd rather see games we don't normally see. 

• Rematches are not preferred if they can be avoided because the idea of a playoff is "settle it on the field", and these are two teams that settled it on the field already. Yes, if they are both good enough to qualify for the playoff there's always a chance a rematch is possible (either in the semifinal or the championship game), but given that teams have 12-13 games a season and there are 130 FBS teams, it's better to avoid rematches unless both teams have passed a few hurdles to get there. This is especially true if its OOC, as if tOSU/OU have played each other (a rare game) once in the season already, you want to see both teams matched up against ANYONE else in the first round.
• One aspect for prohibiting teams from the same conference is similar to the above, that with 12-13 games a season and only 3-4 non-con games, you don't want to unfairly winnow down teams from the same conference by making them play each other in the first round. If one conference is much superior to another it's entirely possible that the 2nd best team from that conference is better than any team from another conference. Conferences still matter, at least to us fans, so pitting conference foes against each other in the first round means a few things. First, the conference is punished in that they're mathematically unable to get more than one team into the semifinals. Second, the conference is rewarded in that they're guaranteed to get at least one team into the semifinals. Avoiding conference games in the first round means that a conference can get 0, 1, or 2 teams [or 3 in some rare years] into the semis, and that it'll be on their own merits rather than eliminating each other.
• Some may have voted as they did on the basis that avoiding conference non-rematches will be a rare scenario anyway, because teams play their own conference mates most often. Many times that you've got two teams from the same conference into the CFP you'd find them already eliminated from playing each other due to the rematch rule. So it might not come up often enough to require a rule.

@medinabuckeye1
Bama did not play in Madison. They wanted it to be neutral, so it was.

• A 35-17 Bama win in Arlington, TX on September 5, 2015 and
• A 15-0 Wisconsin win on November 3, 1928. 

I guess my position now is that rematches and games between teams from the same conference should be avoided in the first round provided that avoiding them doesn't create too much difference in quality of opponent with the definition of "too much" still in discussion.