The bolded part is the most important thing. Jesus taught us that that is how we are to pray to the Father, so I do not see how one can set that against biblical faith, as though they are opposed. The simple fact is that sometimes God heals now, sometimes he heals later where some of those times will be in the next age. One simply cannot, and should not, go about saying that it is due to someone's lack of faith that they are not healed.
It seems you missed some reasons people do not receive healing. Please read the link:
http://www.christianforums.net/showthread.php?t=49100&highlight=
I assume you are talking about Matthew 6:10 which is simply praying for God to bless us with the anointing to do His will just as the early church prayed in Acts 4:23-31. God's will on healing is clear so why don't you go do it: Mark 16:17-18, Matthew 10:7-8 or believe for yourself and family: Psalm 103:1-6, Psalm 107:20, 1 Peter 2:24.
It should be said that God also works through the medical system and that is a legitimate way of having illness addressed and dealt with, showing no lack of faith in God.
You need to explain to me why you believe that Jesus gave His bride the third leading cause of death in the US ALL PREVENTABLE, to be stripped naked (the first thing they do) drugged (all are harmful to the body in ANY amount) and mutilated. If abortions are counted then they are by far #1 in cause of death.
Here are some things the Bible says:
Mark 5:25-26New King James Version (NKJV)
<sup class="versenum">25 </sup>Now a certain woman had a flow of blood for twelve years, <sup class="versenum">26 </sup>and had suffered many things from many physicians. She had spent all that she had and was no better, but rather grew worse.
2 Chronicles 16:12-13New King James Version (NKJV)
<sup class="versenum">12 </sup>And in the thirty-ninth year of his reign, Asa became diseased in his feet, and his malady was severe; yet in his disease he did not seek the Lord, but the physicians.
As for sickness, one cannot say that it is all cause by Satan or sin. We are continually exposed to chemicals and waves of all sorts throughout each and every day, not to mention what we eat. There are any number of things that cause sickness and death apart from Satan and sin. It's just life in a fallen world.