AtLA
Even with what
>>87791826 said it's still wrong for that aspect. Korra would not have worked better at fighting the Fire Nation and not for the reason that Bryke would have had her fail just as much as in her LoK version. Aang brought peace to a war torn world. Korra would, if the star were right, would have fought down the Fire Nation with violence and there would be another power vacuum once the current Fire Nation Royal Family was subdued. So the situation would end up like how the Earth Kingdom ended up in Korra's time.
Switching them, also, would not work. Aang managed to get through to Zuko because Zuko also had good inside of him that wanted to be at the forefront. He had honor and reason to his actions that was above what LoK's antagonists had.
Aang would NOT have "rocked at solving complex political problems peacefully" because:
1.) It is an action adventure show
2.) Korra did approach things peacefully at first in Books 2-4 but the antagonists wouldn't have it
3.) Aang did not settle things by sitting down to mediate things but through action
4.) The antagonists in LoK were using politics as a means to their own ends, they were not open to political solutions
They would not listen to Aang. They would fight back.