I don't remember the header to Vidal you're talking about, bud...
As for the rest....no. I disagree. His characteristics are not suited to a match where the other team is sitting in the middle, clogging things up. They're daring us to try and push through the middle, because they know our wingbacks aren't world beaters, and we were playing without much of a target in the box. Quagliarella is a large part of why we had no flow up front; his interchanges in close space were poor, he was often static (particularly in the 1st). He can't dribble anybody, or create much space for himself (although he needs very little to get off a shot). He's generally not a great decision maker, and he often kills the flow of our offence.
Also, it's absolutely not wrong for me to question his understanding with Tevez, because it's clearly not very good. They may be able to eventually build some decent chemistry, but that takes time -- it clearly isn't there right now.
For me, if we're going to try to keep Tevez pushed up towards the goal, I'd rather have his partner be somebody with more technique, a better dribbler, a better passer. If we're going to have Tevez play SS, I'd rather his partner be more of a legitimate target, who can hold up the ball, bring others into the play, AND still bury.
I know you love him, Baggio, I don't dislike the guy myself. I know he's scored some important goals, including today. We still need to upgrade.