I would like to lose some body fat and get stronger. I've always tried to stay active, but due to a bad diet (result of stress) I haven't managed to lose weight as much as I would like. But I think I have found a routine which would work for me (i.e. I would enjoy it):
Joyful Routine
Mon/Wed/Fri - early mornings - Strength Training (5x5 by Mark Rippetoe). No cardio.
Mon/Wed - evenings - 2 hours active dance (similar to Zumba but more intense).
Tue/Thu - evenings - 1.5 hours Muay Thai.
Sunday - 2 hours volleyball. Very light.
Me
I'm 5'9" (175cm), 185lbs (84kg), 26 y.o. Reasonably active with some previous weightlifting, martial arts and Zumba experience. Also I cycle daily 16km (10 miles) to work 4 days per week (but I will probably give up cycling if I continue with my plan)
Question
I have checked similar questions on this site and google, and I know about sleeping requirements and I have created my diet plan. But given my specific workout plan and my health in general, would it be too much stress for the body?
I am aware that due to my weight and intense routine I might need to take extra care with my joints, proper warm up and stretching.
I would appreciate your views on this subject.