Jesus came to destroy the works of darkness. He did so by teaching, healing and delivering (not to mention the cross and resurrection!).
The Spirit of the Lord is upon me, because he hath anointed me to preach the gospel to the poor; he hath sent me to heal the brokenhearted, to preach deliverance to the captives, and recovering of sight to the blind, to set at liberty them that are bruised, To preach the acceptable year of the Lord.
Luke 4:18-19
Anointed Me to preach the gospel or "good news"
He sent Me to heal...
To preach deliverance... (including spirits of infirmity)
Recovering of sight...
To set at liberty
The fulfillment is right here and although some extra thing or two are included, this passage fulfills the Isaiah promise.
Then Jesus answering said unto them, Go your way, and tell John what things ye have seen and heard; how that the blind see, the lame walk, the lepers are cleansed, the deaf hear, the dead are raised, to the poor the gospel is preached.
Luke 7:22
Bless the Lord, O my soul, and forget not all his benefits: Who forgiveth all thine iniquities; who healeth all thy diseases; Who redeemeth thy life from destruction; who crowneth thee with lovingkindness and tender mercies; Who satisfieth thy mouth with good things; so that thy youth is renewed like the eagle's.
Psalms 103:2-5
For this purpose the Son of God was manifested, that he might destroy the works of the devil.
1 John 3:8
When the even was come, they brought unto him many that were possessed with devils: and he cast out the spirits with his word, and healed all that were sick: That it might be fulfilled which was spoken by Esaias the prophet, saying, Himself took our infirmities, and bare our sicknesses.
Matt 8:16-17
I was listening to Kenneth Hagin recently was said that the same word used in the Hebrew for "borne" is the same word used in the passage in Leviticus about the scape goat carrying the sins.
Surely he hath borne our griefs, and carried our sorrows: yet we did esteem him stricken, smitten of God, and afflicted. But he was wounded for our transgressions, he was bruised for our iniquities: the chastisement of our peace was upon him; and with his stripes we are healed.
Isaiah 53:4-5
Some would argue that the words "griefs" and "sorrows" are not about healing, but it is obvious in Matthew it is talking about healing and deliverance - literally destroying the works of the devil.
We're told He prefers no person over another.
We're told IF we abide, we can ask what WE will.
If we're not healed, then it either means we don't have faith and then believe, we're ignorant of the benefit, OR we have sin in our life that we need to repent of. Sometimes the result of this is carried over from our unredeemed life.
I personally believe that if we believe that the benefit is ours and we're still not seeing the manifestation, then God is trying to do something in our individual walks(if we let Him) that will enhance our relationship to enable us to receive and be healed. It seems that sometimes this takes years. He works to engender trust and faith, is loving us into repentance, etc. Every day's obedience takes us closer to that goal (which is positionally ours).
Since matters of repentance are not broadcast by God, sometimes He lets His people come home. He knows what is best and He suffers LONG with us. We shouldn't ever make it an issue of "he/she didn't have enough faith or faith at all", because it's more complicated than that. People terminally ill want with all their hearts to be made whole and most probably approach the Word more earnestly than many.
God help us to have a pure walk so we can partake and be made whole!