It depends entirely on your training goals. Is rest, recovery, and your food important? Yes, more than any other aspect of your training.
If your goal is to become as strong as you can in the weight room as fast as you can, then yes, you should do nothing but train the weights. If your cardio is suffering and you are worried about it, do some cardio every day, if you wanna play a sport, cut back on the weights and play your sport.
You need to define your goal if you would like specific advice, but the simple answer to your question is yes, rest is just as important for recovery as is your diet.
brute