My guess would be that the paint beneath the MM was not fully cured. What type paint is the Tamiya? Acrylic? Enamel? Lacquer? How much time did you give the Tamiya to dry before you brushed on the Model Master?
As for a fix, you could strip the model entirely and start over. Do a Google search for various methods on that. If it were my build I might try to give it a few days to completely cure, then lightly sand it with fine sandpaper, wipe clean and try the second coat again. Depends on the kit, I guess.
Good luck!
Chris