I certainly agree that Xavi wants to bring Barcelona back to the peak of its glory in the Champions League by winning titles. But anyway, it must be difficult even though Barcelona's form so far has been better under Xavi. It doesn't matter how well Barcelona performed last season in La Liga, but the Champions League is very different.
Getting the Champions League title is not as easy as other domestic leagues, the Champions League is a collection of great teams all over Europe so it will not be easy for Barcelona to achieve that dream even though they have brought their team to a great performance.
The Champions League has a different sensation and the mentality of coaches and players is still influential if they do not have deep experience in the UCL, I believe Barcelona this time will be better to go to UCL even though the previous season could only stop at the group stage.
From some of the criteria you mention, I think Barcelona has it, such as the mentality of the players, coaches and others. They have competent experience in the Champions League competition. I want to add a little, apart from mentality, experience and compactness that influence, the last there is luck which will also determine the journey of a club in conquer the Champions League title, including Barcelona.