I'm an accidental sociopath too.
Found myself surrounded by cops at one point due to tripping over an NPC robbery or some such taking place. Figured standing there waving a gun around wasn't the smartest thing to do, so pressed a button to put it away.
However, being new to the game and not fully conversant with the controls yet, I hit the wrong button and instead cheerily pistol-whipped a passing representative of Los Santos' Finest. LSPD promptly provided a measured response to my clumsiness by filling me with more lead than a Victorian plumber.
Yelling "sorry!" at the screen doesn't seem to help, for what it's worth.