The wailing wall is as close as the Jews can get to the Holy of Holies. The Temple Mount itself is actually Jordan’s right now, and with the monument and mosque there is no temple since the second one was destroyed.
Many think the wailing wall is the outside of the Holy of Holies, but this is false. Even with the temple there, an outside wall went around the temple court. The wall itself is actually part of a retaining wall that Herod built around the temple grounds. The Jews hold it sacred because for two thousand years, it was the symbol of a promise that there would be a temple again.
I am grateful that temples have been restored to the earth. Even when it takes us two hours, a full tank of gas, and ten dollars in tolls to get there. I know that is far easier than those who must travel for days, some of them on long bus rides or boats or walking so far. I can’t imagine such a trip just to touch a single wall in hopes of a temple someday. The Savior is faithful in keeping His promises.
The men and women are separated at the Jewish holy sites, including this one, and the men must have their head covered (unlike the Christian holy sites where they must uncover their heads).
People put prayers in the cracks between the stones in the walls, and some sit and pray for hours. When the papers wear down and fall out, there is one man whose job it is to pick them up and bury them in the Mount of Olives.
It is a special experience.