Nice plants! I have a Phal hybrid that looks a lot like yours, my hybrid grex name is Phal. Wild Turkey (it is in bloom most of the year).
You can leave the Phal in the moss, but be very sure it dries nearly all the way before you water again. Each time you water, that sphagnum should be nearly dry. If you decide to re-pot into bark now, the flowers shoud be fine (Phal hybrids seem quite tolerant to re-potting while in bloom).
The Dendrobium in potting soil - well, I would want to re-pot that before the roots die. Is there any way you can flush the soil out of the pot (into a bucket maybe) without damaging the flowers or making a huge mess at your office? Then, you can put a more appropriate medium around the roots. It looks like there is a plastic inner pot; maybe you can work the roots loose from that plastic pot & remove it, then re-pot.