I think I'd rather play Green Bay on the road than in Dallas. Rodgers has a history of poor play in extreme cold in the playoffs, he threw 9 TD's against 0 INT's through 3 of the 4 games in the playoffs in 2010, including a performance where he chewed up Pittsburgh in the Super Bowl, and I believe they had the best defense in the league that year. However in the NFC Championship a few weeks before in Chicago, he only went 17/30 for 244 yards, 0 TD's and 2 INT's.
The year they went 15-1 they lost their first playoff game at home against the Giants with Rodgers going 26/46 for 264 yards, 2 TD's and 1 INT, not terrible but certainly not the type of performance he usually puts up. Then last year against the Niners he only went 17/26 for 177 yards, 1 TD and no picks.
Obviously these were strong defenses he was going up against too but I think that Super Bowl year really shows how the cold can affect him. Aside from the Chicago game he had one of the best playoff runs for a QB ever but he damn near lost the NFC Championship to a backup in the cold of Chicago.
Our defense isn't on the level of those others but we have the run game to control a game in those conditions. I'm not totally sure I'd rather play them in Green Bay than Dallas but I'm leaning that way.