Well, if you're doing Kettlebell Burn 2.0, and following the nutrition plan in Kettlebell Burn Extreme! RPFL, then, "If you want to see guaranteed results, then do THIS program EXACTLY AS WRITTEN" per Geoff Neupert. (KBE, PRFL, FAQs). That's for the nutrition portion including the specific carb intake.
I have purchased a copy of the programs. I haven't followed them, but I use some similar techniques in some of my training and I'm also recently following a low-carb diet. I haven't found too much problem with low energy or reduced strength since reducing carbs, although it does take the body a little time to adapt. So, see what you can do! You might be surprised. For the exercises, I'd if you continue them with the same weight, do so. The time periods are prescribed, so I'd say stick with those outlined in the program and do what you can, and lower the weight if you have to.
Interested to hear how it goes for you...