One way political parties influence how the constitution is interpreted is by

By nominating federal judges.

Explanation:

Political parties can influence the interpretation of constitution by nominating prefered federal judges. This is because in case of disputes that the constitution has to be considered, the judge of the Judicial branch interprets the Constitution which could be influenced due to ulterior motive.

Have different values from mainstream society.

Explanation:

The term counterculture is thrown fairly often in the last couple of years without people knowing what current values in mainstream society are. But being against war and military is not the definition of counterculture but it can be a part of what the current norms are or are not. Counterculture is not something that drives terrorist attacks of any kind.