Training for Conditioning

How would you design a program to increase conditioning (cardiovascular output, NOT fat loss) as fast as possible while maintaining/slightly gaining strength?

I am starting martial arts in 6 weeks and I want to improve my conditioning so I can handle two a days.

I came up with a 7 day split, please critique it in regards to my goals:

Day 1 - Maximal Strength

1A. Weighted Chinup x 3
rest 45 seconds

2A. Weighted Dip x 3
rest 45 seconds

3A. Sumo Deadlift x 3
rest 45 seconds and do 2 more rounds.

followed by a barbell complex (for instance, Clean Complex)

Day 2 - 45-60 minutes of incline walking on treadmill maintaining HR of 130-150

Day 3 - Circuit Training

1A. Bent-over row for 10 reps
Rest 15 seconds

1B. Clap Pushup for 10 reps
Rest 15 seconds

1C. Front squat for 10 reps
Rest 15 seconds

1D. Ab-wheel rollout for 10 reps
Rest 15 seconds and do 7 more rounds

Day 4 - 45-60 minutes of incline walking on treadmill maintaining HR of 130-150

Day 5 - Circuit Training

1A. Pull-up for 6 reps
Rest 15 seconds

1B. Push-press for 6 reps
Rest 15 seconds

1C Deadlift for 6 reps
Rest 15 seconds

1D Hanging leg raise for 6 reps
Rest 15 seconds and repeat 9 times

Day 6 - 45-60 minutes of incline walking on treadmill maintaining HR of 130-150
Optional: Vanity work ie arms, calves, lateral delts, etc.

Day 7 - 45-60 minutes of incline walking on treadmill maintaining HR of 130-150

*Note: the load stays the same on all weight training days, reps decrease from round to round. IE in round one do the weight for 6, by round 4 can only manage 4 or 5 reps.