Role modeling the love that "believes all things" is possible with Jesus Christ. Men, the truth is that when we discipline our children for misbehavior, it is not because we do not believe in them or that one day they will become a mature person. It is quite the opposite. We discipline them because we do believe in them. We discipline them because we love them. To not discipline them when they need it would be to discredit and harm them. I do not believe that children can become mature good people without some form of discipline, when needed, while growing up.
No matter how far one of God's creatures, whom He loves, falls into sin and rebellion God's love will come to the rescue. God believes that His love, displayed through the cross, will redeem, rescue, and deliver any soul who will put faith in His saving grace.
All things are possible with a love that believes that all things are possible with God. God believes in this love that believes all things are possible. Therefore, we should also believe and role model this love to our family. Obviously this does not mean we are to believe everyone at all times, period. This would be foolish. This is what we should always want to do, but until Christ works in any particular person you want to believe in, one's faith can be quickly dashed to pieces.