You wouldn't necessarily be doing anything "wrong," but you probably wouldn't be doing your training any favors. Both of these tapes utilize heavy weights and lower reps (more strength than endurance style training) and as a result they are great for muscle gains. Depending on your goals you could adjust the workouts (using lighter weights and sometimes a faster rep speed) to make them more endurance based, and then doing them the same day would make more sense.
Since your muscles never work in isolation, but we can only concentrate on a particular muscle group all the muscles are being worked to some degree, as stabilizers, etc. before you ever get around to targeting that muscle in particular. Therefore, by the time you get to the last muscle it will be pretty pre-fatigued and as a result you won't be able to lift as heavy or with as good of form as you would have had you been working that body part "fresh" as it were.
And anyway, you really want to do more after all those push-ups?}(
Mattea