I wouldn't overcomplicate it. Shortcut to Shred is a decent program, but there's no need to follow it to a T. As mentioned above, stick to what you enjoy. I would definitely keep heavy compound exercises in while cutting (squats, bench, deads, rows), and focus more of your attention on your diet for fat loss.
If your goals are fat loss and enhanced performance, I would add in some high intensity training. Consider adding HIIT a few times per week, decreasing rest periods between sets, and use exercises that will increase your VO2 max. This type of training will improve athletic performance and indirectly help with fat loss if you are eating properly