I think we need to clarify when people are saying not to strip it they mean don't take the grip apart. Taking the slide and barrel off is really pretty simple.
Having taken the grips off and taken all the internals out of mine a couple times, I can tell you that the average gunny doesn't want to do this. The parts have to go in in a specific order, and have to be rotated this way and that to even fit, you will need something to use as alignment pins to get things started as well, and it really isn't necessary for cleaning.
There are also parts like the trigger bar and mag safety that lay in channels under the grips and while it is quite obvious where they go, getting them to stay aligned while you slide the rubber grip back into place can be quite a challenge as the grip is the only thing holding them in place.