With equal circumstances and prep time Batman could not beat Superman

The arguments that you are giving are good, and while almost convincing they do fall short. The argument that Superman would be slowed down by the weight of the lead is a mute point. Superman prior to both reboots, was stated at having practically limitless strength. In All star superman he was shown lifting 200 quintillion tons and stated that he felt he could lift more (mind you this was because his body was saturated with yellow sun radiation, but the point still stands). After the The New 52 reboot, he is stated to be able to lift and possibly exceed "5.972 sextillion metric tons". His strength, stamina and speed are not a factor in simply wearing a suit that at the most would way 2-3 metric tons at the absolute most... and that's with a complete over exaggeration. As far as attempting to state that Batman would be able to create a suit that could disable Superman's.... Consider this... Superman in essence, to win this fight, has only to take away batman's access to Kryptonite. This would include his suit and simply picking up Batman and moving the fight else where. The point that I am making is that Superman and Batman are not equal. Stating that Superman would not have a lead suit is like saying that Batman is going to come to this fight without Kryptonite because the prolonged use and exposure to it could cause cancer. Its simply not going to happen. Establishing that the suit and its weight would not be an issue for The Man of Steel, and noting that with the suit making him practically invincible. There is little to no chance of success for The Dark Knight. As for "blending in" Superman's x-ray vision does not work like that. It does not see the traditional color spectrum, or lack there of, that Batman generally makes use of. Superman would be able to see Batman if he was there. The only way that he could hide from Superman would be to in case himself in lead, which would defeat the purpose of have the Kryptonite in the first place. To the point of the sonar vision and outside help. Fox was helping him operate it... If you can honestly say that Bruce did not need Fox there to help him use it, then I would agree that its fine to use. However we see Fox directing the sonar, and relaying information to Bruce so that he could make sense of what he was seeing. (especially when the Sonar went out, and Fox had to fix. I will end with this the truth is that Superman and Batman are not equal, even with equal prep time and circumstance. The reality is that while Batman is an impressive hero, he is not Superman. Superman is the other worldly, somewhat god-like hero that consistently saves the day against the strongest opponents, and fights with an unshakable morality. Batman is the flip side of that coin. He defeats his enemies by his mind, will, and body (which is what Superman does). His moral compass is more flexible, but never breaks. His strongest opponent is Bane, and he almost always defeats him by detaching the poison, or in the case of the movie, his mask. Some would say that they are two sides of the same coin. One with the power to protect humans from threats with sheer power and strength; the other with brains and will. However when faced with defeating each other, Superman would win in fight. Batman has been praised and elevated due to television media and popularity. I am in no way stating that he is not one of the greatest superhero's, but he is not able to defeat Superman.