He's not a man! He's a machine!
The only reason the T-800s mission parameters change in T2 is because his programmed orders are to follow exactly what John says. People are saying that Carl is the first Terminator to succeed in it's mission, but we already saw what happens when a Terminator accomplishes it's mission . . . he lowers himself into a vat of molten lava. He breaks his programming and kills himself, he's not getting married and opening a ****ing quaint pizza shop.
WTF Khev.
I don't know, would he? He didn't rip the heart out of the Tech Noir bouncers chest. Like you said, he broke his hand. Didn't kill the guy in the phone booth, he threw him out of the way. He throttles Matt around without killing him instantly. He didn't kill officer William Wisher when he stole the cop car. In fact, he does things Uncle Bob does. In T2, there are tons of instances where the Terminator uses blunt force trauma to people's heads. The Pescadero lady with the cast he shoves, the cop he steals the patrol car from (just like in T1), etc. The biker bar scene is pretty intense. He breaks that guys arm and stabs him into the pool table and burns the other biker's hands and face on a grill. Worse than what the Terminator does in T1 with some of the random people he encounters.