Welcome to the board!
In regard to your goals, just select one aspect of fitness (strength, strength endurance, cardio and flexibility) and build a 6 - 8 week progressive cycle into an another aspect of fitness. And just to inform you martial art is more plyometrics (explosive power) than strength training. It uses HITT (anaerobics) over cardio (aerobics). Power/olympic lifts are goods example of plyometrics, resistant training and HITT working all together.
If I were to design a program, after an assessment of defunction (body composition), I would probably start with range of motion (flexibility) and just do martial arts. After a few weeks, move to the next cycle. Cardio is a natural progression. And after 6-8 weeks, the strength training you are doing now. Then power lifting. Lastly, plyometrics because by this time you should have the built the flexibility, stamina and the strength to preform repetitive, explosive movements.
The reason I'm answering your question this way is because flexibility is the base for speed. And being flexible typically ignored among the 5 aspects of fitness. But as you probably know, flexibility is vitally important in gaining speed. And speed and strength = power. And the stretch reflex generates the explosive power in martial arts.
These are the basic ideas that I like and have used to prepare fighters in the past. Some else might prefer a different modality. |