The only way Concorde could ever get off the ground again is if there was a major sponsor backing it. Also, due to the complexity of the aircraft, you would probably need Airbus (the design authority) backing it, and they pulled the certificate to fly a while ago, and have no intention of supporting it.
In addition, unless someone has got very deep pockets, I don't see that amount of cash being raised either. For starters they will need low, if not zero time engines, a tonne of spare parts, airframe support and engine support. XH558 has been returned to flight, but then again, it is a much simpler airframe, and they have also gone through various financial difficulties with the project being nearly culled on different occasions.
The most you could ever hope for is a fast taxy run, but God, think of the scandal if it does what Brunty's Victor did last year