As i said in David T's post, Abraham Lincoln would definitely be a better figure to balance Zachary Taylor, who had an unclear platform and lack of interest in politics. And at thirty-nine years old, he becomes the youngest vice president of the USA. As president, Taylor kept his distance from Congress and his cabinet, while I could see Lincoln, filling in the gap and making the office of Vice President, more powerful then in OTL.
Having previously worked in the Illinois House of Representatives for 8 years and being a US Representative since 1847, he is still relevant in US politics and knowing he will be a better President then Filmore, I could see Lincoln, being renominated, with his vice-presidential nominee, William Alexander Graham of North Carolina, whether they win the 1852 election is based on his first term.