I prefer to reduce the frequency of ties, and now that we've had overtime in NFL since the mid-70s and in CFB since the mid-90s, we'll never return to a straight-ahead 4-quarter tie.
A few people noted in the thread already, and I'm in the same camp, at some point neither team has been able to gain separation and it's a stalemate. I wouldn't suggest capping the # of overtimes as a blanket rule and declaring it a tie at that point, but set up a reasonable number of possessions or time limit before there's some kind of sudden-death option.
Of course there would be disagreement about what qualifies as "reasonable number of possessions."