Taylor, if I'm not mistaken, actually opposed compromise and supported the South. These were all rather mediocre or poor presidents, but I guess I'll hold my nose and vote for Jackson.
That is highly innaccurate. The man was a simple soldier first and foremost and not a politician. He saw statehood in simple terms and thus didn't understand the fuss that the South was making over CA coming into the union and freely deciding to be a free state. He thus opposed the compromise of 1850, and believed that California should be admitted as a free state since that is what CA wanted and that was that.
That really distorts Taylor's position, tho it is possible that his military background caused him think of himself as a second Alexander as he thought he had a solution to the Gordian knot of whether the territory acquired from Mexico should be free or slave. He favored admitting the California, Utah, and New Mexico Territories as States, thereby eliminating the issue, Frankly, none of them were ready, with California Statehood only happening because the people flooding in there because of the gold rush made it a necessity. However, it would have been wiser had only North California been admitted. California is too big a State, as is Texas.