“Ethnically white European”. Misinformation. What illegals are you looking at? Your description fits a tiny percentage of illegals. The vast, vast majority are of almost pure Amerindian extraction, which definitely is not white nor European.
No, that's a minority in Mexico, for example.
Mestizo is the majority ethnic group and has roots in both Spain and the Amerindian populations of Mexico.
Do you think Spaniards should have special rights in the United States? The Conquistadors?
If so, why? We fought wars against them: England for 500 years and America throughout its history up to the Spanish-American war in 1898.
Does being a descendant of enemy nations qualify one for Affirmative Action?