Don't do it, at least not to the best of my knowledge. I'm not sure about the signal traveling up the other cable, but there is another concern.
The problem is that the amps will see each other as another impedance in the circuit when both are connected to the cab at the same time. When you add the impedance of the cab and the impedance of the other amp, the total impedance will be lower than the cab by itself. The mosfet may be able to handle the odd load, but tube amps and Marshalls in particular are very impedance-picky. The Marshall could suffer.
Rane Notes:
Why not wye?
The combiner boxes there won't do the trick, as they are for line-level devices which do not need to pass current.
If buying another cab isn't an option, I would get a plastic jack panel with another input, and rewire the thing so each amp can be plugged into two of the speakers. You could even wire it so that one of the jacks serves two purposes, using a switch. One of the jacks will be left/mon, the other will be right.
There is a diagram in
this thread, along with the article it was with.
I suppose you could build some kind of speaker switcher box, but it would be a pain, and I think you would run the risk of damaging the Marshall during switchovers.
There may be other options, but this is what I've got for you.