Using a broken Linksys WMP54G radio
Yes - that will probably work OK (there may be some inovious gitch but should be no technical problem.).

Very importantly though - you want good mechanical support for the nw larger connector. A non conductove brack (eg plastic) that supports the connector and is screwed to the PCB in a neutral location is advisable. Or Heath Robinson solution is to pot the connector and PCB with eg epoxy resin ;-(.

Ensure shortest possible connections between old and new centres connecyor and good ground to ground connections.

Note that the new connector does not have to point in the same direction as the old one. 


Mounting it at 90 degrees on a sheet of plastic that extends from the PCB may be extremely effective. 


Even if it is at an angle it can work OK. Shortness of connection length is more important than prettiness. 



There are several physical ways to connect.

(1) Either connect middle to middle and brass cube to body. This should be very easy to trial with the new connector at an angle so that relevant parts touch. Not pretty but should work OK for trialing.
or 

(2) Remove brass cube and connect inner to inner, outer to where body connected 
or 

(3) Connect from bottom of PCB with old brass block still in place. 

Any of these schemes may produce an impedance step and cause reflections and some loss of signal. But all may work OK - there's a degree of luck involved.