Not sure which faction, the Kurds are divided among themselves which is how the West would want them to be to avoid upsetting turkey and Iraq
The Kurds have got to realize how they are being played by obama’s faux war against sunni radicalism and go with their best option, which right now would appear to be Russia and Iran
It would be in Russia's interest to arm the Kurds, and let Turkey know that was just a partial response.