Monstera dubia can grow either as an epiphyte with no roots in soil or as a hemi-epiphyte that has roots in soil or leaf litter like other monstera. I personally would ditch the pot. I would not ditch the dirt necessarily, if it is well rooted in the soil just shake off the excess and put a pad of sphagnum underneath it and a pad of sphagnum over it.
I have grown them both ways. It is always scary to do something you have never done when a living expensive plant is involved LOL.
I have a Rhaphidophora korthalsii to mount and this dubia. My main worry is actually that the slugs will reappear. I had semi-adult leaves on my variegated monstera that were about 5-6 inches across that were totally eaten in a single night. I have been baiting the GH floor with snail bait intermittently especially now in the rainy season...lots of snails and slugs slinking about here in FL
