I don’t know any Baptists, Southern or otherwise, who are support this effort. Maybe there are some, but I haven’t run across them. Pastor Jeffress is a popular spokesperson for SBC, and he’s not in favor of illegals invading America. (I am not SBC.)
Been in the news for a few years now
http://www.sbc.net/resolutions/2273/on-refugee-ministry
http://www.usccb.org/about/resettlement-services/
https://www.umcor.org/UMCOR/Programs/Refugees
https://duckduckgo.com/?q=churches+resettling+refugees&t=ffsb&ia=web
Presbyterian and Episcopal too
https://pda.pcusa.org/situation/refugee-ministry/
Big Churches need Big Money. Screw the Americans. FedGov has more money than the congregation.
A local Methodist told me his church doesn’t worry about tithes anymore. Says it’s because of food stamps.