The Red Skull can and has pushed Captain America in a few fights, he also trained Crossbones, and has given Kingpin a good challenge, I don't see Batman winning 10/10.
Powers and abilities
Although the Red Skull has no superhuman abilities, he is a highly gifted strategist and political mastermind. He also possesses an intellect and inventive genius on the level of supervillains such as Doctor Doom. When The Red Skull acquired the super-soldier serum enhanced cloned body of Steve Rogers he was endowed with a body that was in perfect physical condition, with strength, speed, agility, dexterity, reflexes, coordination, balance, and physical endurance that exceeded that of any Olympic athlete who ever performed, despite the scar tissue covering his face and head, his senses were still above-average. He has been shown as a hand to hand combatant and martial artist on par with Captain America himself and is heavily trained in the use of fire arms and explosives. The Red Skull is commonly portrayed as one of the Marvel Universe's most genuinely frightening major villains.
Well, that's not current Red Skull so I felt like asking. In hand to hand I see Red Skull taking some, but I don't think he ever defeated CA hand to hand, so there is that.
Meh. He would be stronger. But not by a big margin me thinks. Cap is a 1 tonner absolute tops IMO and Bats can go from 800lbs to maybe even 1000lbs IMO.
Yeh he would be more durable. Much more noticeably.
He would also have Cap's ridiculous stamina.
However he doesn't have Cap's fighting ability. Bats would school him in this regards I think.
The thing about Red Skull is that he's a natural born killer, Cap holds back on killing blows Red Skull doesn't, and he is an acomplished fighter. When he fought the Kingpin he did fairly well, and Wilson Fisk has been known to take on multiple highly trained martial artists at a time and win.