Okay, I'll go against the grain on this one.
If price were identical, I'd choose the Aladdin. Part of that is my loyalty to Starwood, but having stayed in both hotels, I like the spaciousness of the Aladdin rooms (which seemed larger -- especially the bathrooms). I also like the location of the Aladdin better, which is a little closer to the places I frequent (which are in the Caesar's/Bellagio area).
That said, if I saw a significant difference in price, I'd let that be the driver.