IMO, it's best not to glue it all together, mostly for cleaning reasons. However, you can easily have the best of both worlds. Just drill a small pilot hole through the fittings where they mate with the pipe and use some small SS sheet metal screws to hold it together. One screw at each junction would do it. More than likely it would stay together without the screws, but that depends on how much you knock it around when you stir the mash. It would not be fun if it came apart mid-mash, so a little insurance would be prudent. You could also glue part of it and use screws on the rest. Brew on!