Mark 6

And when they had come out of the boat, immediately the people recognized Him, and ran about the whole country and began to carry about on their pallets those who were sick, to the place where He was. And wherever He entered villages, or cities, or countryside, they were laying the sick on the market places, that they might just touch they fringe of His cloak; and as many as touched it were cured. - Mark 6:54-56

Imagine the frenzy. The hurry, the excitement. Jesus was the eye in the storm, and the people swarmed in mad masses around Him. And He did not send them away. He had compassion on their suffering, and healed the sick.
I wonder what His response to the madness was? It is highly unlikely that all these people truly believed. Most were there because of the phenomena of His miracles.
In other places Jesus tells a person that they were healed because of their faith, because they believed.
These people believed Him to be extraordinary, certainly, but the Messiah - God?

He allowed everyone to come to Him, and turned no one away. Even though the people treated Him like some sort of magic fetish, He healed them all, asking nothing of them. It was freely given, and probably recieved with great jubilation and not much afterthought. But that was fine, Jesus had not required any.

That's the point. Jesus offers healing. He does not require holiness, perfection. What you do with His gift to you is up to you. There is no "if you do this, then I'll ....", none. None.
At all.