I'm going to assume that by "traditional vs modern" you are referring to traditional warm up exercises for a particular style vs modern athletic training and sports science.
For example, in my style, Uechi, we have warm up exercises known as Junbi Undo and Hojo Undo. Some of these, in the light of modern sports knowledge, have actually been shown likely to contribute to damage to knees, etc. Then there are other "traditional" warm ups and practices such as makiwara training, weighted jars, etc.
I seem to remember another discussion on these forums about crossfit, and I think it's simply a cardio/weight program that seeks to incorporate many of the benefits of modern cross training and interval training. Here's what I found online:
http://journal.crossfit.com/2002/04/foundations.tpl
From this page: "...Cardiovascular and Respiratory endurance, Stamina, Strength, Flexibility, Power, Speed, Coordination, Agility, Balance, and Accuracy."
To answer your question, in my recent and limited experience, we do a bit of both and adapt the more traditional exercises based on understandings gained from modern sports science.
I like what my sensei and I discussed last class. We do Junbi undo and calisthenics to develop the will. We do makiwara and bag work to (slowly and over months and years) develop inner muscular and bone strength. We do Hojo Undo to develop stamina and drill muscle strength/memory. We do kata to develop mental clarity, strategy, and focus. They all fit together and have thier time/purpose.
Does that answer your question at all?