https://barnabasfund.org/news/US-government-and-UN-guilty-of-massive-institutional-discrimination-against-Christian-refugees-fleeing-Syria
This article paints a misleading picture. As to whether it does so deliberately, I can only surmise.
From State Dept.
US admits Chritians but mostly from Iraq. That is because in Syria, Christian factions are more or less part of the Assad regime.
Contrary to what is ordinarily assumed, there are not that many Christians fleeing Syria since the ongoing war does not pose immediate threat to their lives as it does to the Sunni faction. I dont know how to describe their status other than anxious observers as mass genocide takes place around them. Furthermore, Syria is very different from Iraq, a distinction that the propaganda pieces like above do not make. Of the 2000-4000 Christian victims of isil, vast majority were Iraqis. If a person with sound mind were reading this I would remind them that the overwhelming majority of 400000 civilians killed by the regime are Sunnis.
Now, factors underlying this contrasting situation:
1. Syrian Christians, like every non Sunni faction in Syria, mostly dwell in safe zones/enclaves made impenetrable by formidable militia comprised of their own community members.
2. As of now, Assad regime is fully committed to security of Assyrian neighborhoods, going as far as cleansing, massacring nearby Sunni populations.
3. I dont have to remind anyone that the original FSA (desginated as terrorist by Assad & Russia) did include a sizeable Christian militia, who were later pardoned and eventually reintegrated by Assad. That is in stark distinction to what eventually happened to the Sunni faction of FSA, tens of thousands of whom were either tortured+executed by the regime, or died fighting isil.
4. In an attempt to demonstrate his solidarity with Syria's Christians, Assad chose to set up the regime's primary extermination camp in the historic Assyrian city of Saynaya. You might have heard that name if you were familiar with the French model Elisa Sednaoui who traces her family's origins to that particular city. Nevertheless, that particular camp happens to be the site where anywhere between 30000-70000 of Sunni males, mostly unarmed civilians were starved and tortured in a 'show of strengh' by the regime, eventually resulting in at least 13000 deaths, by all means a conservative estimates. Now this particular genocide was carried out by regime forces with the assistance of various para-military death squads which include Christians among their ranks.
https://www.amnesty.org.uk/human-slaughterhouse-mass-hangings-and-extermination-syrian-prison
https://www.amnesty.org/download/Documents/MDE2454152017ENGLISH.PDF
As to whether there were Christian soldiers present on the site perpetrating these atrocities, the article below does not care to mention. It also does not deem it important to mention that the prisoners were predominantly, if not exclusively Sunnis. Personally, I approve of their approach if the full disclosure had explosive implications. Also I consider it abominable to see victims of any conflict, class conflict in Syria's case, in purely sectarian terms. However, Assad, more so than his predecessor has inevitably put the Assyrians in a very tough position, insofar as whichever community chose to remain silent while watching multiple genocide being carried out by the regime in front of their eyes would end up looking bad. So it is only natural that some leaders of various Christian communities have started to voiced their annoyance at the regime's excesses.
https://www.chathamhouse.org/expert/comment/most-syrian-christians-aren-t-backing-assad-or-rebels
It is Assad himself who has played the sectarian/communal card from the onset of uprisings. It worked in his favor that opposition to the regime be divided up, for his already deeply sectarian regime to have any chance of survival, like "sharpening the contradiction" as it were.