Having worked with LabVIEW for a few years now, it seems to me that such dynamic user interfaces are simply nigh-impossible in LabVIEW. The way the front panel / terminal / block diagram system has been designed has some strong advantages, but dynamic control instantiation seems to be fundamentally incompatible with this paradigm.
If you really think this type of UI is useful, you should consider using a different tool — .NET for example. There's plenty of extensive libraries for this sort of thing in the .NET world. You really don't want to solve the intricate usability issues of docking/undocking etc. yourself, if you don't have to
On the other hand: does the UI you have in mind really solve concrete user problems? My experience thus far tells me that often a well-designed, static UI trumps an overly-configurable, dynamic UI. Especially for "your average user" (whatever that may be), too much configurability makes an application harder to use. For a good example on this, read the interesting story of how the Microsoft Office Ribbon UI was conceived. There's a reason Microsoft turned its back on the mess of floating toolbars, dynamic menus and over-configurability that was MS Office 2000-2003. (Even though, personally, I quite liked it!)
One additional tip, to make this downer-of-a-reply a bit more useful: you can look into LabVIEW OOP (Object Oriented Programming), and the Actor Framework, to see some examples of how you can make a UI more 'customizable' — by, for example, making multiple versions of the same UI, and decouple those UIs from the underlying actual program. Let me know if I'm being too vague here, or if you'd like some more concrete pointers.
Best regards,
Onno