I wonder if, and this will sound kind of like an excuse, but I sincerely wonder if a lot of the problem isn't that the church is soooo far removed from the Apostolic Age, separated by a large gap where the RCC had full sway over doctrine, that perhaps a lot of unbelief is really just ignorance in disguise. Like it may look like people have no faith for these things, but in reality, they just lack the understanding of what is necessary.
A couple of things I see.
Jesus made a definitive statement, well more than one actually on the topic.
As you pointed out my dear brother, Jesus could do only what He saw the Father doing. This is why Jesus rarely healed in the same manner. It's really not a cut and paste solution each time. How many times do we go out into our communities with the expectation of seeing the Father working? I painfully admit I suck at this, and need to do better. Just asking the Spirit to open my eyes to the needs around me. Not looking only for the big power miracles, but for any work that the Father has ordained. We can get so laser focused on wanting to raise the dead or seeing the lame walk, that we forget about helping the poor or feeding the hungry. All of those are just as important to the Father. In fact, helping the weak, poor, and destitute are likely more important than healing the sick.
Jesus rebuked His disciples as He came down from the mount, because they lacked faith. They lacked faith, not the person wanting healing. It's a great source of pride and personal protection for a minister to stand up in front of a congregation and pray for someone then when they are not healed rebuke them for lacking faith. Now yes, there are passages that suggest people can see few miracles because of their unbelief, but those are rare. Which leads me to the next point here.
Timing. Now this is the tricky one, and requires the absolute dependence of each of us on the Father, Son, and Spirit. Peter and John walked by the lame man going into the Temple. It's not 100% certain, but it's highly likely that Jesus walked by this man at least once or twice, yet He didn't minister to him... why? It wasn't the right time. The Father has ordained these works to be done, at certain moments that will give Him the greatest glory. When the blind man in John 9 was healed, the disciples asked whose sin led him to be blind. Jesus told them, it wasn't a sin that caused him to be blind, rather God was going to be glorified in the work. We may minister to someone and they are not healed. It doesn't mean that the Father doesn't want to heal them, it could likely mean that it's just not the right time. So many miracles in the Bible were done at a time and point where a multitude of people could see and become aware of God's power and then hear the gospel. Not all, but quite a few. But we have to work with the Father while doing these things. Waiting for Him to reveal the right time to act and respond I think. Which takes us back to point 1, watching for the Father to reveal His work to us.