Horrible comparison.
Primitive cultures can be analyzed only through very different rules. Large tribes without even a written language to be used for administration, can't even have a vague concept of what immigration means, let alone formalize an administrative means to control it.
You are being over-literal and obtuse -- they failed to prevent widespread European immigration into N. America and paid the price; if the Europeans fail to prevent the same from the Muzzies, they risk the same.