In principle, this is what you'd want to do. The number of objects and their distance from each other make this a massive commitment, which would spread out your fleet, making it possible to defeat them piecemeal. You'd have to cover any object with gases or ices that have hydrogen atoms in them, that are big enough to refuel a significant number of ships, which is a lot of them, probably 1000s of them in most systems. To a certain extent you might want to keep the locations of good fuel sources secret. Obviously, it doesn't work for planets, but smaller objects maybe, especially if the system is not convenient for enemy spy ships to stake out - if it is, they can plop down a spy telescope in the Kepler belt, and gradually map all the objects. You might also gather up the smaller objects and divert them to be near your bases, so they can be monitored and used by your own ships. Obviously it doesn't work for planets, but that gives you a much smaller number of places to monitor.