If Jabari Greer and Randall Gay don't play when the Cowboys roll into New Orleans, I think the Cowboys might have a slight advantage against the Saints. Dallas has been very good against the run, and the Saints have struggled early in games when they couldn't run the ball.
If the Cowboys keep blowing assignments, then it won't matter. Hopefully this adversity will help make them stronger, but I've hoped that in the recent past and it has yet to happen.
The last time I remember adversity turning to a positive was maybe the Leon Lett debacle on Thanksgiving in 1992.