Now, what convinced me that Jesus wants to heal? The words "all" and "every", coupled with the fact that I never see Him turn anyone down. Show me one place in the Bible where someone asks for healing, puts their faith in Jesus, and then Jesus says, "No."
I can't find it.
In fact, we are told Jesus tried to do miracles but couldn't because people refused to believe in Him (Mark 6:5).
Sounds to me like Jesus is into healing.