Unlike inanimate objects, people have cultures and not all cultures are compatible with the culture in this country that has produced such benifits for the American people for so long.
and 连接两个完整句子。
Unlike inanimate objects---这个是介宾短语作状语;
people(主语) have(谓语) cultures(宾语) ---这个是and连接的第一个完整句子
not all cultures(主语) are compatible with(系表结构) the culture in this country ---这个是and连接的第二个完整句子;
that has produced such benifits for the American people for so long.---这个是定语从句,先行词是the culture,在从句中做主语。