Lay it out for me, please?
(Spoiler alert for west coasters)
Roslyn, the President, ended up criminalizing abortion, which Admiral Adama was also in favor of. The VP, who is a weasel/traitor, used it as a political opportunity to oppose this policy, and use it to launch his campaign for President.
Otherwise, I strongly suggest watching the show from the beginning. The original miniseries and season 1 are on TV.
The show doesn't travel down the predictable paths you might expect.