Only reason to side with Alduin is wanting the entire world to end... The best way to go about that, is to simply let yourself die in any random fight. Boom Alduin has won.
It's funny but I got the impression Alduin was trapped in an endless cycle and only the one who could best him could end that for him. But as I said previously he does a piss poor job of communicating that if it were true. Whenever he opens his mouth and speaks, he comes across as another textbook villain.
Alduin often came across as one of these things...
http://tvtropes.org/pmwiki/pmwiki.php/Main/VillainByDefault
Yo, he eats worlds and is mean about. Kill him.