It can be argued but most sources will say the majority of refugees are fleeing Assad.
If one likes more Syrian refugees, then, the logic would be, support Assad. This war has gone on for 6 years and here, they are still fighting in the suburbs of Damascus.
It’s gotten to the point where as long as Assad is there, it looks like the war will continue.
http://www.rudaw.net/english/interview/26042017
This article explains fairly well Kurdish opposition, scanning the article, I don’t think he speaks of absolutely overturning the Syrian government and regime, he is open to negotiation. Assad however, looks like a bad actor who may eventually go into exile.
There have been Christians in the opposition too; the opposition does not consist of all wild eyed Jihadists who by the way, were no problem for Assad to support during the Bush 43 invasion of Iraq.
The little comment Oliver North has on the situation too; might be helpful to some.
http://olivernorth.com/north-points