Oh I know what you mean about moving things. I am sure if they could move the live rock they would. I have two frags of anthelia and I could not figure out how they kept on being in the sand. Sat down tonight and watched the show.....
The maroon would pick up the anthelia that is on some very tiny rock, knock it off and the bicolor blenny would then move it to the corner of the tank away from its house. This is quite commical but I am sure the frags don't like it.
Now the maroon and the coral beauty seem to want to move my new frag of toadstool. No way, I have it lodge in a nice hole now and they will not be moving that one. Darn them anyways. They don't eat the corals just move stuff around.