Captain America would most likely concentrate on strength and durability...physical things.
Now, Batman, who has seen Superman in action for years, would concetrate on the other powers...heat vision, freeze breath, super speed. I think that at start of the fight, as Cap would go at him at the fullest, Batman would use the freeze breath. He would then fly to the Sun at full speed, gaining more and more powers the longer he spends there.
Cap would probably get free in seconds, but that would be all that Batman would need. As Cap spends his time looking for Batman all over the world, Batman has spend a full minute in Sun. He flies back to the Kansas, and Captain spots him. Batman plays the game for a while, making it seem that they are equal, and Cap is getting a edge, as Captain is giving the final blow, Batman grabs his fist in midair. He is stronger and faster now, and he would give constant beatdown to Cap, hitting the most weak places. He would most likely obtain the shield for himself in the fight, and use it to win.
I hate debating against you (we're usually on the same side), but you make it sound like Cap would just be dumbfounded when fighting Batman. The fight says that they have full knowledge of the powers. I'm sure that not only would Cap use the super speed to his advantage, but he would also know that Batman would play dirty. There's no way that Cap wouldn't expect something like that and there's no way that he would be caught off-guard with the freeze-breath.
I know that Cap isn't a dumbass, but I think that he would play it more fair then Batman. Now, I think that Batman could use the powers better then Cap could. Captain has the extra time, and knowledge, but like I said, Batman has saw Superman in action for years. He knows the best tactics to use in different situations. He knows what works best against each type of power. He has even fought against Superman, and people like Superman.
Therefore, he would throw all kinds of things at Cap at the beginning of battle. Gas granades, strobe granades, normal grenades...that together with large heat vision and ice breath would sure distract Cap. I think this could give Bats a opportunity to take the shield away from Cap. And then beat him in hand to hand combat with or without the shield. Cap is similar to samurai. Batman is a ninja. Ninja's treachery always beats the honor of samurai.
Bats only win because of his utility belts....and he is a good thinker, DC's best thinker actually. Good Stratagy, tactics plus gadgets = a win. Cap can win in a direct combat because of his physical edge.
Damb tough call. I'd have to say that Batman takes this one in a prep battle..just barely though. In a non prep battle Steve probably has the edge. Damb I guess that's means its 50/50. Back to the girl in the pick..damb you could set a glass on that ass. Is that your picture jesserw21?
__________________ If knowledge is power..how come we have so many idiots in charge?!!
I dunno. I still think being the master tactician that Cap is, given that extra week, he would've run through THOUSANDS upon THOUSANDS of different scenarios, most of which include how Batman could play dirty and then how to defeat him. I dunno, I just see Cap as one who would always be prepared for whatever Bats had to throw at him, even if it just all seems like a distraction. I just don't think Bats could really catch him off guard, especially since the utility belt would be useless against Cap with Superman's powers.