What do Ты think would had happen if Padme would have lived

Nothing as by that time Anakin was a sith and full of hatered he was past the point of no return

Hard question! but I think he could save Republic then, because he turn to the dark side just to save Padme so... and he s the chosen one, so he could killed Palpatine...

She would have gone with the children to Alderaan, protected by Bail Organa, away from Vader. She would founded the Rebel Alliance, along with the other senators, like in UE, and Luke and Leia would grow together, fighting the Empire. Eventually, Vader would know she was alive, and he would stay emotionally shaken and would go back to the light side to be with his wife. He would have to face the Emperor to return to Padmé ... So, Padmé, dying или not, Anakin will fulfill the prophecy because of his Любовь for his family.

Nothing really her and Anakin would just live together forever with there children.