What most affects our personal experience of God is God and us, not what God did with other people in the past or present.
The idea that God will respond the same way as he did in Scripture in a similar situation is not well-founded. In fact, Jesus' ministry shows us that he rarely repeated doing a miracle the same way a second time. However, the idea that he will respond in some way is more than well-founded—God promises it over and over in Scripture. There are passages that support that God will be doing miracles in our modern times, and none that say he's going to stop at some point. I'm not sure why people even think this. All kinds of things mess up our experiences of God. We must fight to believe what God said in spite of our experiences. This is the path of a growing faith.
Recognize the power of mankind, your community, your friends and family, and you to cut off the blessings (and experiences) of God. Joshua 7 describes a single family's sin (that no one knew about) cutting off God's favor for the whole community. This might not seem fair—and of course it isn't fair. That's what sin is like. A single sin is very powerful. (Romans 6:23, 5:14)
You don't need to fake your faith (and it might slow spiritual maturation). If you don't believe something God said, just confess it, and ask the Lord to help you to (understand and) believe it.
Oftentimes, people are interested in this subject because either they want to do miracles, see miracles, or have miracles done to help them. There's nothing wrong with this. This is a part of the human nature God gave us (see Ecclesiastes 3:11 about our hearts for something supernatural).
For those that want healing, read the passages around Then your light will break forth like the dawn, and your healing will quickly appear; (Isaiah 58:8a, 1984 NIV) It is good support for the many places that tell us to be devoted to Jesus with our actions (i.e., be obedient). See Deuteronomy 28 for a general exposition. However, our actions must come from our hearts. Ask God for that, since we can't change our own hearts.
To see miracles, ask the Lord for that. And keep asking. He may first want to use that desire to transform you over time into a person who will be able to appreciate seeing a miracle. He also might answer it at the moment you ask.
We are the Lord's servants and he is the Lord, not the other way around. If you want to do miracles, you must seek to become the Lord's servant (in your heart, a servant of all). If you want power, you must live your life giving up all power to the Lord's will. This is one example of the more general command in Luke 9:34: Then he said to them all: “If anyone would come after me, he must deny himself and take up his cross daily and follow me.” (1984 NIV)
Take good care of your relationship with the Lord. Learn what it means to take good care of any relationship, then apply it to your relationship with the Lord. If you want a successful relationship (including marriage), you must sacrifice and keep sacrificing. The Lord laid down his life for us. The best thing we can do for our relationship with God is to lay down our lives for him—which means always yielding to his will in every way.