Karim Benzema and
The spirit shown in that late fightback and the overall performance - the host having almost completely dominated the first hour - swept away the gloom of a dismal start in La Liga.
Mourinho certainly felt the display was more in keeping with the traditions of the revered, nine-time European champion, club.
Mourinho said: "I am no-one in the history of Real Madrid. I have only arrived recently, I have done very few things.
"But as a coach I am entitled to say - even though I wasn't born a Real Madrid fan like many million people - that Real Madrid fans want this.
"They want commitment, they want better quality of play - and me too. Last year we had it and this year we will have it.
"There was low self-esteem and doubts within the team - and the coach - but it was difficult to play better than we did.
"It was a great commitment from the team, from everyone, without exception."
Real has won just one and lost two of its opening four Primera Division matches, but it seemed determined from the outset to put that behind it.
That it failed to score in the first half had much to do with brilliant City goalkeeper
Marcelo twice narrowly missed the target early in the second half before
Marcelo quickly responded but Real needed to rouse itself again after an
Even after Benzema equalised again, Hart produced another fine save from Ronaldo, but the former Manchester United star did have the final say.
Mourinho said: "I have been told there were some people leaving the stadium when the score was 2-1, but I felt people were very committed.
"I felt if we had lost, people would have left sad only because of the score. People understood the commitment.
"That is Real Madrid. You can lose but you have to fight until the end."
The result yet again got Real off to a winning start in the competition. The club has now won its first home match in
Mourinho said: "It was a match that was important to win. We have three points and we play the last match at home.
"I think this is a major step to qualifying from a group that is very hard.
"I don't think we can do what we did last season by getting, almost easily, 18 points."
Real faces Ajax in its next match and also plays Borussia Dortmund in a group comprised of domestic champions.
Mourinho made a bold decision by leaving out defensive linchpin
Mourinho told the press: "I would like to make clear - because some of you are experts in changing the truth - there are no problems with
"This decision was purely on sports grounds."
UEFA Champions League
Jupp Heynckes has hinted he may continue coaching elsewhere after guiding Bayern Munich to UEFA Champions League glory.