It is possible to modify the UI to separate the palettes like you're describing, but it requires editing the HTML code that defines the structure of the UI. This is done by editing the text file named SidePane.htm which is in the \ui sub-folder.
There are some descriptions on how to do this in these previous posts:
And see these posts for some attached already edited SidePane.htm files, make sure to back up your existing SidePane.htm before trying these ones, I'm not exactly sure which program versions they are for: