I guess my biggest concern is that the whole flat earth idea is being propagated by fear of being deceived. It's that ol' conspiracy theory thing. I just think way too much time is wasted on focusing on conspiracies and it hinders us from just trusting in the Lord Jesus Christ alone.
Some years ago I was obsessing about a situation and hammering heaven's gates with fervent prayers and tears and begging God the Father to please answer me. I wanted an answer! And He answered me all right...

*eep!*
While praying yet again about it one day, the weight of the glory of God suddenly fell on me like a ton of feathers. It was so miraculous and unexplainable. It was heavy and light. It was like my body was pressed as in a wine press and my carnal or intellectual reasoning was crushed out of me. I was aware of one thing: the Spirit of the Living God. My awareness of Him was all that was left of me. I knew nothing but Almighty God.
It was such an awakening that I didn't have room for fear or earthly reasoning. It was my spiritual mind in God's hands. As I type these words, I realize I can't do it justice what happened. I liken it to a father who has had enough of his child being afraid and quickly snatching that child up in his arms and holding him/her so close and so tightly to him, the child is only aware of its father's breath on his/her face.
I remember looking around the room and trying to decipher what I was looking at, as all the objects in my house had no meaning. They were like atoms. All the while God was speaking, or rather revealing Himself to me. If I could sum it up it would be, "I alone am Truth. My purpose is real and I am in control. I love you. Do you hear Me?" But there were no words like that, just the revelation of Almighty God, the Spirit of Truth, of Jesus Christ the Lord.
Anyhow, after what seemed moments or hours, I don't really know, I began to realize how terribly awesome and powerful God is and how bankrupt my carnal mind is and I was scared almost to death! Not of God, but of ME! Of my flesh! My flesh contrasted with Holy God so much that I cried out to Him to either take me home with Him in eternity or please restore my mind that I could function in this temporal realm again.
He did, of course.
heehee 
But anyhow, from that day forward I didn't question the reality of God Almighty. I question ME and everyone else, but not God. There was more to it than that. But my point is, against the flat earth vs. the spherical earth argument, Holy God makes that whole debate of little to no worth.
I think it's awesome to study about science and ponder all of creation. But only in the shadow of God's reality. I don't like conspiracies though because it's not trusting the Father. I hate fear because it blinds us of God's love.