they are no-where near to construction of a third temple. They have however created the new menorah (which is on public display). The priests garments, I believe are presently in the stitching together process. The stones for the stone altar have been gathered. They have done a lot of work.
As many know, I am of a very pro-Israel viewpoint, but certainly not an avid zionist by any stretch of the imagination. That said, here's a couple of relevant sites.
The Temple Institute - an 'orthodox' Jewish website dedicated to the temple, it function, layout, usage and construction etc. This web sites has some very fine materials which even christian believers may find interesting.
The Temple Mount Faithful - a 'zionist' organisation of sort dedicated to the restoration of the temple and its service, but openly asserting the promise of the Prophets that it be a 'house of prayer for all nations'.
Steve
p.s. I believe many OT passages have not yet been fulfilled and require a physical, earthly temple for their completion.