In the short term, there might be less conflict than you expect between the Government forces and the Kurds.
Ever since the outbreak of the conflict, these two particular sides have not been shooting at one another. There have been Government enclaves within Kurdish areas (air bases and border crossings in the north-east) and vice versa ( most notably, the Kurdish quarter of Aleppo). Also, the two are already actively collaborating in Afrin, to combine their forces against the Turkish-jihadi invasion there.
The real problem comes when the conflict is over. Up until now, the best hope for the Kurdish areas was a political settlement that rewarded and recognised their self-liberation, the fight against Daesh and their efforts to save the Yazidis from genocide with some form of autonomy within Syria. If the facts on the ground are less favourable to them, then the path to a good outcome gets narrower.
