Hooking "filter nodes" in project navigator?

I want to change the current functionality with the "filter nodes" by typing in the project navigator. Currently it only searches for the nodes that are open. I want it to also search in subfolders and only show the nodes it has found, then revert back when the text is removed. I also want the search box to be visible at all times.

Is there any way to hook this class and adding my own implementation?

Thanks.