This is Christian interpretation of what happened is wrong. The Byzantine empire was on the decline and all their buildings, including the Hagia Sophia were dilapidated and in despair.
Yes Ottomans conquered the city of Constantinople and people were killed, but they did not loot, rape or murder everyone on the street. This is westernized version of events. Let's look at the real history from Muslim perspective. We all know the Crusaders were the ones who did all of the most vile thing such as killing women and children and piling up dead bodies on top of each other and even eating the dead bodies of muslim children. Read the Book: "Destiny Disrupted" by Tamim Ansary. It gives history from Muslim perspective which we dont even know ourselves.
Lastly, the Hagia Sophia we see today is not the same building that was there originally. The Ottomans added the minarets and added additional structures to it to make it even better and bigger.
We don't even know our own history or our own accomplishments in the world.
I can go on but I will stop now