If I was going to separate the pictured plant, I'd use my gardening knife (old serrated kitchen knife dedicated to doing things like this) to cut them apart.
I'm one of the unfortunate few who are sensitive to the latex sap, which gives me a rash nearly identical to poison ivy if it gets on my skin. I have this plant, but now take precautions to avoid getting the sap on me when taking cuttings of this or repotting. Unless the surface is broken to expose the sap inside, casually handling this plant should be harmless.
