The Jets have never hosted a conference championship game since the merger. They played (and of course) lost on the road following the 1982, 1998, 2009 and 2010 seasons.
There have probably been some Fiesta Bowls-Cardinals games that have been tight too, especially since the move to Glendale. I feel like that is something that has happened, but I could be making that up.
Ehh, I don't know about that. The Giants had just made the playoffs for the second time in 21 years in 1984 and one year after Bill Parcells barely survived a 3-12-1 season. I don't think anyone suspected the Giants were about to embark upon their most successful post-merger stretch. The Jets hadn't won a playoff game since Super Bowl III and were owned by the infinitely smarter and kinder version of Woody Johnson. Nothing much would change there until Parcells' one magical season.
Closest ones I found: Cardinals vs. Falcons on Jan. 3, 2009; Fiesta Bowl two days later Fiesta Bowl on Jan. 4, 2010; Cardinals vs. Packers on Jan. 10
It's probably both of those I'm thinking of since I lived there then. Two days is pretty tight, especially with how they make up the stadiums these days for the big bowl games.
The field itself wouldn’t be an issue for same-day play since both are turf. You couldn’t change out the logo stuff, but the NFL can just order there to be generic branding. Where this breaks down as opposed to state high school finals playing 3-4 games a day in the same barn is there is no way to accommodate two capacity crowds with the same parking, tailgate areas and whatnot, to say nothing of the screaming nightmare of needing to clear the stadium between games and having four sets of fans jammed outside together.