Think they finished 4th the season before he took over. That would be like taking over Chelsea or United this summer and winning the quadruple next season.
As you say, he dismantled an aging team full of egos and built a monster.
3rd, but you're right in everything. He prioritised sorting out the egos, which is why he got rid of Dinho and Deco and tried to swap Eto for Villa (the 3rd move didn't happen as Puyol encouraged Pep to keep Eto, who told Pep he'd buy into the system to play the way he had to). 2 years later, Villa was bought to replace Ibra and Pep's original idea came to fruition.