Do Catholics believe God can or will save someone who does not want to be saved?
If it is up to us to be saved, as I heard in a recent homily, then God becomes powerless. I would retort that the gift of final perseverance is still a gift, not an human action.
If the number of the predestined is fixed, then people will be saved whether they want to be or not.
This, I think, is a critical and seminal difference between Catholic and Protestant thought. Protestants regard the human will as fallen; I get the impression Catholics think it somehow escaped the effects of the fall.
Our salvation lies in Christ, not in ourselves, not in our own will. I look at myself, for example, and acknowledge a zest for sin that all too often outpaces my love for God. If it is up to me to want to be saved, I am in serious trouble.