You act as if the third leader does not matter in any way, shape, or form.
He does. He is also one who votes for you. Odds are if he doesn't approve you, he sure as fuck won't vote for you.
1 vote out of 19 active members is about 5.3%. That leaves 20% of the remaining members to vote no to kill your vote, versus 25% of the members. You guarantee yourself less of a chance to get in if you don't strive for all their approvals and you pretty much gank your chance at getting their approval by not including them as seeming important.