Whichever of cardio and strength you do second is going to suffer.
Personally, I think that if you are going to do cardio and strength back-to-back, you are better off doing ST first, for a couple of reasons.
Firstly, the general consensus is that you rest your muscles for 48 hours between ST sessions, which implies just 2-3 ST sessions per week. If you are always doing ST second, you never get in a good ST workout. But if you do cardio second, you still have the opportunity to get in a good quality cardio workout on your non-ST days.
Secondly, good form is essential for ST, both for effectiveness and to reduce your risk of injury. And it's hard to maintain good form when your muscles are already fatigued from cardio. A fatigued ST workout risks injury, while a fatigued cardio workout just means you can't go as intensely.
If you must do cardio and ST together, my advice would be to do the warm up phase of the DVD, hit pause, do your ST, then pick up the DVD again from where you left off.
The reasonable man adapts himself to the world; the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man.
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