And to add more information .. in DFW there is no such thing as an "arrivals lounge" any more. Yes there still is a sign in the Term A AC where one door used to be the Flagship Lounge and the other door was Arrivals (and the sign I think still exists) ..
Arrivals lounges typically are for showers and breakfast type food. I think LHR is the only one AA still has in operation.
For full details .. look at
http://www.aa.com/content/travelInfo...Policies.jhtml
Now if you were flying from MEX .. that is considered International! wierd ...
As nako suggests the one day pass (at $50 for one person .. more for a second) would be your only admission option. I would however worry 12/25 might have limited hours or limited clubs (of the 4 at DFW) open on a Holiday.