If I'm not mistaken, if you run two series wound DC motors in parallel, you will basically get the equivalent of a limited slip differential.
Reason being, a series wound motor produces back EMF the faster it is turning (basically, the faster it is going the more voltage must go across it to cause current to flow). because of this, when two such motors are in parallel, a stalled or slowly turning motor will draw all the power while a freely spinning one will not. Since presumably the stalled motor is the one with more traction, the power will magically go where it is needed.
I know it could be slightly more complicated than that and I haven't tried it myself but based on my noodling on it that is what I have concluded.
Note that high performance, dual motor EVs run their series wound motors in series at low speeds and parallel at high speeds. However since the motors are mechanically connected there should never be a case where they aren't turning at the same speed.