I do not "assign" qualities of God. He has revealed Himself through Scripture and I believe Scripture. You and the lds on the other hand...
However you assign qualities to God and Jesus, whether it is by scripture or personal beliefs, we will find out what the truth is only when we pass to the other side. The bible has too many vague and contradictory statements about God and Jesus to know for sure. With the hundreds of translations you can truly come up the God of your making and that is exactly what has happened over the centuries.
Fortunately for LDS JS encountered God the Father and His Son Jesus Christ, and so he saw them first-handed and can tell us more than all the books that have been written about God and Jesus since the beginning of the world. So we have an advantage that is very important when talking about God and Jesus and the HS. We now can take that encounter and what JS learned in future encounters and compare those to the bible and it helps us cut through the vagueries and conflicts and come to the knowledge of the truth.
I provided Scripture, God's Word, that He is everywhere. If one requires proof of that, what does that say about that person's faith? Just because it isn't recorded, doesn't mean it didn't or couldn't happen.
You provided a metaphorical scripture about God being everywhere but nothing concrete about how this manifests itself in real time.
Unfortunately, your man did not see God, as God is unseen by any man as Scripture says. Jesus, appearing as a man, could only be in one place at a time as a man. However, Jesus, as God, could be in a separate place. Jesus, as God, healed the Centurian's son while Jesus the man was not in the same room or even the house. Jesus, as a man, stood outside Lazarus' grave while Jesus, as God, rose him from the dead from inside the grave.
This is one of the vagueries about God Himself. You have assigned a quality of invisible to God. You think that you have done that because the scriptures say that God cannot be seen. But you are aware from this forum that there are other conflicting scriptures that God has been seen and many times.
This is where your personal belief comes in and you have chosen, regardless of this conflict to believe God cannot be seen, hence JS is a false prophet.
Of course LDS believe God is not invisible, but chooses to rarely be seen. This belief reconciles all of the scriptures about his invisibility and we know that JS saw both God and Jesus.
Your take on the story of Jesus and the Centurion is interesting. We find this story in Matthew 8. I believe that the centurions servant was healed by the power of Jesus coupled with the faith of the centurion. But there is no verbiage that Jesus was split in two, so that his humanity stayed where he was, but his Godhood went to heal the servant. That would be a stretch to try to fulfill the challenge. This did not happen, according to the scriptures.
Same thing about the story of Lazarus found in John 11. Jesus stands outside the tomb, prays to his God and then pronounced with a loud voice, "Lazarus come forth". And Lazarus did. There is zero indication that Jesus's manhood stood outside the tomb, while his Godhood went into the tomb and raised Lazarus. Again, a stretching of the story to comply with my challenge. But not in the scripture, try again.