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Using imaginary magnetic charges (usually called <i>magnetic monopoles</i>) to solve for forces between two magnets doesn't make sense.  Even if magnetic monopoles existed, what exactly do you envision doing with them to solve for the force between two magnets?

Each magnet contributes to the magnetic field.  Just like your dipole electric charge causes an electric field, a magnetic dipole causes a magnetic field.  You can calculate what the force would be on a point charge anywhere in these fields, whether electric or magnetic.

So in summary, solve for the field.  Then you can determine what forces any charges in that field would experience.  No monopoles need to be abused in the process.