Personally I believe if we made Government Social Programs such as Immigration, Welfare, Public Education or scholarship programs elective on IRS Forms it would solve the whole argument. Foreign aid to Isreal or other countries should be on the same elective basis.
That way virtue signaling liberals can check a box to volunteer to sponsor a Muslim, Mexican or other immigrant of their very own, pay for their proper vetting, immigration fees, transportation, bring them into their home, feed them, pay for their education, ensure they comply with the law and assimilate into society.
Conservatives can just opt out.
Willing to bet the immigration rates would drop drastically.
Everybody's happy!