Bruce vs. Shiva - I'm always kind of curious to see the mind-controlled thing mentioned as a given. Not because I'm opposed to it or anything, actually I don't even really count this encounter as the true face-off between the two, but because the story makes it clear that Shiva might not be mind-controlled. It is a concious choice to read the story that Shiva was mind-controlled, yet it is often shouted as the defense for the fight.
Bruce vs. Artemis - I don't really know why the dart would be for Diana, as Bruce is actually working with her here. Although some reason the Amazons don't seem to think so, even if they say so in the following issue.
Bruce vs. Diana - As mentioned already above in the comments, the thing here is that Batman isn't employing any tactics or strategy in a fight against metapowered individuals, instead he starts swinging at them with his fists. Which is a tactic, sure, but a spectacularly bad one. Have him utter a magic phrase, have him pull out a high-tech gizmo, something that seems like a good idea with Diana pushing through and cut him down. Instead here Bruce is a moron and jumps in front of a sword. How does that not make Batman look bad and ineffectual?
Bruce vs. Clark - Yeah, that 'Die, Oppressor' vs. 'Let's talk' thing is kind of amusing. Note however that Clark was raised under different conditions here and had killed several individuals prior to this, hell he killed Uncle Sam just prior to the scene. Secondly, I don't see how Superman killing Diana with such ease could be argued as unreasonable, but the Diana/Bruce fight going as expected. The written balance is all over the place.
Bruce vs. Wolfen - I actually think Wolfen is a mix of Beast and Wolverine. The appearance is closer to Hank, but the personality seems to be closer to Logan.