I assure you, plenty of good aligned characters are just as capable of picking fights & doing horrible things.
They don't torture the bar-keep & burn down the inn, but nobody bats an eye when it comes to genocide vs the orc village followed by looting the corpses....
In a recent 1e D&D game we played last year it turned out that several of the party members were evil, several were neutral, and a few were good. The inter-party problems were caused not by the 3 of us who were evil (my grey dwarf ftr/assassin - evil only because that's the only alignment open to assassins, an evil illusionist, and an evil 1/2orc fighter), but by a combination of the Good elf ftr/MU & the CN human barbarian. The CN 1/2orc archer (brother to the other 1/2orc) who loved shooting into melee didn't help any either (my solution to that was to simply NOT be in melee if I could help it).
My grey dwarf ftr/assassin - was on a job. The party? Were just people he was assigned to work with to get it done. There was no intent of treachery vs them. Granted, I didn't particularly care if they survived, but the job would definitely be easier if they did.... Nor was I worried about the loot. So long as I got an even cut everything would be cool. So it's STILL in my best interest for party members to survive - they can help carry more loot out than I could manage on my own.
The Illusionist? He was some sort of erratic, maniacal trickster with a fetish of cutting off thumbs.... He billed himself as a mage who had some new spells he wanted to test out. Well, OK, here's a mine full of goblins - that needed exterminating anyways. Have at them, just make sure to point that shadowy stuff away from us.... He obliged.
We never knew what AL Alex had written on the sheet, we just assumed it was CE or CN. I think he was evil.
The 1/2orc fighter (who turned out to actually be a cleric of Gruumsh! sp?) - Yes, he was N-evil, but he was mostly just greedy. He wanted the reward, knew he couldn't take it from the rest of the party, and secretly healed several of us.
The GOOD elven ftr/Mage on the other hand? Began plotting to kill the 1/2orcs almost as soon as play began. Just because they were 1/2 orcs. Didn't know anything about them.
And when he realized that I was more than what I seemed - after I slew an ogre by rolling %dice? Then he added me to his hit list. Because Assassins are EVIL!
He also encouraged & set it up so that the CN Barbarian thought the 1/2orcs and I were plotting against him.
And our N healbot cleric? He refused to take sides. If you were a PC & hurt he'd heal you. If you weren't a PC he'd hit you with a mace.
So 3 evil characters working together, 1 CN archer shooting into melees indiscriminately, 1 LG character trying to kill most of us, a CN Barbarian willingly being used as a proxy by the LG guy. And a N healbot who did nothing/allowed some of this crap to continue longer via healing the barbarian 9even though he WANTED the barbarian player to stop)....
End result: Mission failure due to forced party in-fighting.
And people think evil characters cause all the trouble.