To move the entire navbar (which would include the breadcrumb and login parts) you could just change the position of "$navbar" in the "showthread" template.
But to only move the navbar buttons part of it that you displayed in the pic, you'd have to do it a bit differently such as grabbing that part of code from the navbar template and placing it where you want it. Then you'd have to replace $navbar (again in the showthread template) with the code for the breadcrumb and login part of the navbar template so that it still shows at the top (but without showing the navbar buttons part twice).
That would be one way at least. I'm not sure if I'd want it laid out like that though. But, that's up to you.