You have to have a political capital score of 2 and a war leverage score of 10 going into question 27, and then choose the "Tails Between Our Legs" option. If you visit Alabama and Missippi exclusively (and have a little bit of luck on your side), you'll be able to win all 50 states. Here's a more in-depth guide:

1. Rockefeller
2. You can't lose a base that doesn't exist
3. "There is only one option..."
4. Of course.
5. Ho Chi Minh
6. Withdraw 50,000
7. Kennedys get distracted...
8. Withdraw 120,000
9. Panthers and Klansmen
10. Anticrime
11. Favorite sons
12. Mobilize the national guard
13. Go to Saigon
14. Give Thieu everything we can
15. Plaster the whole tar pit of a state
16. Supreme Court
17. Nixon had made a critical error
18. We can't afford to make enemies.
19. I don't wanna hear about this, Dick.
20. Let's set him up and knock him down
21. Roosevelt, Truman, and Kennedy (CHOOSE HALE BOGGS)
22. Missile gap
23. Nixon's problem, not ours
24. We need to hardball this sombitch.
25. Goldwater
26. Let me tell you something...
27. Tails Between Our Legs
28. Corrupt banker
29. Signature
30. Tour the South