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It would have been king of the battlefield, for several reasons.
First off, superior visibility, especially when buttoned up. WWII era tanks were like WWII era submarines, they could operate in their ultimate mode (buttoned up, underwater) only at reduced capability and with severe limitations. Today a modern MBT has better visibility with the hatches closed because of the sensors at hand.
Second, survivability would be much better due to superior armor and superior design. The Abrams is designed to be able to allow the crew to survive even if the main ammo rack is destroyed, and the ammo is designed to be resistant to such (good ol’ belt & suspenders design).
Third, modern tank ammo would slice through a WWII era tank like butter. You’re comparing an 88mm cannon to a 120mm cannon, that’s a nearly 2:1 ratio of cross-sectional area, the first can fire a 7.3kg projectile at 1130 m/s, the second a 10kg projectile at 1550 m/s, a 2.6:1 ratio of kinetic energy. More so, the modern gun fires a depleted Uranium long rod (80mm long) penetrator. DU is self-sharpening and pyrophoric, meaning that it while flake off to a sharp point as it hits a target and will create a shower of molten hot sparks at it bores through armor. The WWII era tank’s rounds would just bounce off the modern tank while the modern tank’s rounds would slice through armor like tissue paper and transform whatever it hit into burning wreckage very rapidly.
But all of that is somewhat academic, because the real difference is all that matters. Range and accuracy. A modern tank has a motion stabilized computer controlled gun/turret. It can fire on the move and hit targets at maximum range with accuracy. It also has computer controlled firing, so it automatically adjusts for range. With a larger gun, faster projectile, and better optics/sensors the modern tank can engage targets at a much longer range and can fire faster. That’s the story of the [battle of 73 easting](http://en.wikipedia.org/wiki/Battle_of_73_Easting) during the ’91 gulf war. The Abrams tanks started firing on the Iraqis almost the moment they were within range, and destroying them with each shot.
A modern tank placed into WWII would just start hitting the enemy at ranges where the enemy wouldn’t even know what hit them half the time. And the armor would protect the crew from almost everything other than intense, sustained aerial bombardment. If the modern tank had any degree of support it would basically be an unstopable killing machine.