Prayers v The Sick List

In my ongoing search for some explanation of why for the past forty years, in spite of all the corporate prayers for the sick my experience has been the only way people come off the prayer list is to die and that no one questions what we are doing. What did Jesus mean when he said:
 
John 14:13-14
Whatever you ask in my name, this I will do, that the Father may be glorified in the Son. If you ask me anything in my name, I will do it.
 
We have interpreted that to mean if we say the phrase: "In the name of Jesus" it overrides everything else, our attitude, our request, our intent, everything. God must answer in the affirmative because we said the magic words and Jesus put no qualification on it.
 
Much like a police officer saying, "Stop in the name of the law." The police officer has the authority to make that request because he is standing in the place of the law and speaking on behalf of it. To the degree that he speaks for the law, he can enforce the law and has authority. When he steps outside of the law, he has lost his authority even though he still says, "Stop in the name of the law."
 
In the prayers of the Bible we do not see a prayer that ends with the phrase "In Jesus' name. Amen." It is never done in the New Testament or in fact the Old Testament either.
 
 Jesus used his "miracles" to honor and glorify His Father not for his own purposes. How does responding affirmatively to our prayers for sick friends and family to be healed, for God to touch the heart of unbelievers; to give us safe travel honor and glorify the Father or Jesus? How does praying for those "for whom we have a duty to pray for" honor and glorify the Father or Jesus?
 
How do our corporate prayers compare to Jesus' instructions:
 
Matthew 6:6-13 
    (W)hen you pray, go into your room and shut the door and pray to your Father who is in secret. And your Father who sees in secret will reward you. And when you pray, do not heap up empty phrases as the Gentiles do, for they think that they will be heard for their many words. Do not be like them. . .
 
If we ever get past the elementary doctrine of Christ and go on to maturity,possibly we can look into other subjects.