I identify strongly as a Jew, but I'm not very religious. I've visited Israel three times and enjoyed every visit. Jerusalem is an amazing city. I just had trouble finding holiness at the Western Wall. I think, for myself, I either need more quiet and solitude, or conversely, to be involved in group prayer. But I don't pray much and I'm not very practiced at it. I'm also an atheist, so prayer for me is a bit hard to explain.
Anyway, for me, the wall itself didn't evoke anything. I think there was just too much commotion with everyone doing mostly their own thing. I did enjoy watching everyone else experiencing the place, though.
If nothing else, there's a few thousand years of history there to see.