West Ward Hough
I would trigger US election even though it is not explicitly a jihadist card. US Election is a special case that always triggers on being discarded.
126.96.36.199 Use of a card with a friendly or unassociated event for
operations—or discard of any card—does not trigger the event
(EXCEPTION: US Election).
As for the order, I believe they happen sequentially as written. 2 cards are discarded and the events on them happen (which besides US election, could have impacts on Posture), and then the US Posture goes to soft.