Having become bilingual, they may attend Anglo churches. Others may experience a renewed interest in their cultural roots and take pride in them. They may attend Anglo churches. They may enjoy an ethnic meal occasionally or attend a multicultural church. Some groups will move toward Anglo-American forms, but don't expect any to go all the way.
Perfect amalgamation is neither possible nor desirable.
Organizational unity is never the same as spiritual unity. It is a common human trait to expect everyone to become exactly like we are. Our goal must be to provide an atmosphere which will allow individuals and groups to live out their Christian lives in the patterns of their own culture.