I don't think The White Stripes' influence has had it's full impact yet, but it's definitely helped bands like The Black Keys find a bigger audience, and that's always a plus.
Jack White is an incredible all-around musician, and The White Stripes stand out more from the pack now than The Allman Brothers likely did in their day. Obviously it's hard for me to compare, The Allman Brothers were before my time. But then again the only southern rock that ever stood out for me was CCR.
Two songs from The White Stripes, just to show the range:
https://www.youtube.com/watch?v=-nftLExpxE0
https://www.youtube.com/watch?v=frS13vfL9LU