(This is based on my AP US History DBQ by the way.)
The rise of the 'New Right', or the conservative movement that grew since the 60s to the 80s and remained about the same strength up to now, can be attributed to 3 main factors:
1. The success of the Civil Rights Movement.
2. The War in Vietnam/laggard US foreign policy.
3. Rise of the Counterculture Movement.
To each these factors came a reaction from the general population:
1. The change in focus from 'separate but equal' to 'states' rights', adopting a strong rhetoric against the 'domineering federal government'.
2. Calls for a more aggressive foreign policy, one that aims to actively undermine the 'Evil Empire'.
3. Rise of Christian Conservatism and emphasis on 'family values'.
I don't know what the POD might be, perhaps the early 60s. What I ask you AH.com to make a scenario of is to show a situation where, from the POD, the conservatives are unable to gain traction from these 3 main factors stated, and American society as a whole does not see a rise in Christian conservatism.
Bonus points if this leads to the survival of the Soviet Union.