Dh probably still subscribes to the old idea that the women makes all the social plans, etc. (my dh is like this) and you're tired of it or have adopted more modern ideas.
I don't see how a date night will make a difference though it can be fun. Yes, you will know that you're going out each week and when, but you still will have to make all the plans. The only way to change that would be to have a talk with dh. But there's no guarantee he'll agree to change.
If he does, are you prepared to accept it if he plans a day of fishing for the two of you? Or an afternoon at a sports game? If you would prefer a movie (that you enjoy) or dinner with friends, etc., you might rather be the one who does the planning, after all. I don't mean to stereotype - maybe you love sports and he's the one who would rather do dinner with friends. My point is, are you sure you both have the same ideas of what's fun? And if you don't, how would you resolve that problem?