I think Mihawk will win but extremely close fight. Mihawk hasn't shown one thing to support any definitive against a commander win. There is no reason why if Mihawk can low diff Yonko Commanders, that he didn't do it back at marineford, like he did with other characters. Being the life goal of Zoro means nothing, just because Zoro is one of the protagonist doesn't mean that at EOS he has to be on par with the strongest. His goal is to be WSS not second world strongest person. Not even Mihawk currently is stronger than everybody feat wise. He hasn't beat one good swordsman in the current story line, not one, the majority of them he hasn't even fought them just Shanks... He hasn't even fought, apart from Shanks (12 f years ago), a top tier much less beat them. Once he does then we can start talking about placing him in a higher position.
Mihawk is an awesome character looks cool, has a good title, bad ass personality, more or less important to the plot. Yet I just have to read, and see that so far Mihawk is not the god some people want him to be until proven otherwise with manga panels...