Q:

Toggle node on "space" hotkey but not on "mouseclick"

To toggle node with both "mouseclick" and "space" I just wrote :
  .bind("select_node.jstree", function (event, data) {
       $("#tree").jstree("toggle_node", data.rslt.obj);
    })

but what if I just need to toggle only on "space" hotkey and not on "mouseclick". 

A:

You can use hotkyes plugin http://jsfiddle.net/radek/G789k/31/

added hotkeys definition 
hotkeys: {
     "space" : function (e, n) {
               var node = this._get_node(this.data.ui.hovered);
               $("#jstree").jstree("toggle_node",node);
     }
}

I removed your bind

