Experiments to prove Jesus is the Christ

My 2nd cousin, who is a geologist like me, posted the following on Facebook:

"I'm a geologist and I use the scientific method every day as I work to find the energy that makes our modern lives possible. The more I learn about the earth the more I am impressed by the wonder of it.

I also strive every day to learn by listening to the Spirit of God so I can have His direction for my life.

When I say I know something scientifically, it's because I have asked questions, and worked to collect data to test the validity of my hypotheses. When the evidence is overwhelming, I can say that I know.

Spiritual knowledge is the same way. I can say that I know Jesus is the Christ because I have studied his life and teachings. I have asked questions and conducted experiments that have taught me through my experience that this is true. The evidence is overwhelming. I can't convey my results of this spiritual learning in a spreadsheet, but it is real nonetheless. I can only invite you to conduct your own experiment upon the word of God.

Because of my experiments upon the word, I know that Jesus is the Christ, that the Book of Mormon is the word of God, translated by the gift and power of God to his modern Prophet Joseph Smith. Knowing this means that I know that Russell M. Nelson is a prophet of God today and that The Church of Jesus Christ of Latter-day Saints is God's kingdom established on Earth once more."

The last I heard my cousin was pursuing a doctorate in geology. I only have an MSc. but although I also believe in the messianic role of Jesus, I don't know how to conduct experiments to prove He is the Christ.

It is easier to approach whether or not the Book of Mormon is the translated word of God. The Mormon church itself may be backing off on the "translated" part of this to favor it as "revelation" instead.

There are also ways to prove or disprove the history in the Book of Mormon. It tells of massive battles using horses and steel for which no evidence has been uncovered.

But even if we assume that my cousin has proven that Jesus is the risen Christ and the Book of Mormon is the word of God, how does this lead to Russell Nelson being a prophet of God, and the present day Mormon church God's kingdom on earth?