To preserve and restore the Union, and wanted to see the end of slavery.
The answer is: Culture as shared ideas
Culture as a shared idea refers to a set of beliefs or behaviors that have similar characteristics because it come from the same background.
In the example above, the similarities of beliefs that Joe and Sarah have come from the fact that they are both held a christian religion. The difference arise because the religion that they adopt are considered to be a sub-culture that derived from one main culture. (christian in the main culture, baptist and Lutheran are the sub-culture)