He would drastically be altering time by stopping those events. Not to mention, you'd have to ask why not save
everybody that died outside of natural causes throughout all of history. He'd be spending eternity doing that and changing the future, possibly resulting in preventing his own birth.
I saw the MADtv parody you're talking about and while it was amusing, it definitly didn't understand (nor did it intend to

) the complexities of time travel.
Carp! Don't forget he also learned a painful lesson about changing the past through Charlie.