Customizing window

Finding certain shortcut in Customize window is not easy when I remember the function, but not the key/modifiers. I'd like to have a quick find field, just like in preferences to search for shortcuts easily.

I'm also concerned about lack of "apply" button in customize dialog. Is it very difficult to add it?

What use would the Apply button be? The hotkeys don't actually work until you leave Customize mode.

Ok, then it doesn't make sense.
Please think about search field.