Viewport bar on NewFloatingViewport

Is there a way to have the same viewport bar on a floating viewport?
Like so:

No, I don’t believe there is as that UI is not part of the viewport itself. You could however make an Alias in Preferences (cmd+,) > Aliases that uses the SetView command. For instance, map the letter T to "! _SetView W T " and then when you press T and enter with the floating viewport active, you’ll change it to the Top view.

In the Windows version I made a custom toolbar (with views and some of my most used commands) and mapped it to one of the buttons of my space mouse.
But I think it could be nice to have that bar on the floating viewport.