There is an actual physiological process the body goes through to make it more capable of handling exercise in the heat. It takes about a week or so of practice in it to get there. The Cardinals have played two preseason games in the heat, and have had 3 or 4 weeks of practice in it, so they are there.
The difference in acclimation is proven, as every year visiting teams end up putting a player or two on IV's at halftime or on the flight home. The Cardinals havent had to do that in at least 10 years.
While the Cardinals will have the heat advantage, it will only be a significant issue if it is a close game in the second half.
Going east to west for the distance involved, jet lag isnt an issue. For the Pats, game time is 4pm east coast time, and thats not a big deal. Its really more of an issue for west coast teams going to the east, and having to play a game at (what is for them) 10 am in the morning.