I like Superman AND Batman. They work well as a team. Batman is smart. Supes - not so smart.
Batman not very powerful. Just a man. Together they are better than the sum of their parts. They need each other.
Not true. Superman has a stupidly high IQ. The only reason they work well as a team is because Batman's stealth and subtlety work as a perfect foil for Superman's sheer power. However, Superman could move around fast enough for there to be no need for stealth in the first place. Superman carries Batman in all honesty, and the only reason Batman is still alive is because Superman lets him be.
This is not to say that I don't like Batman, though; on the contrary!