Male to Male ADC?

I'm trying to use an ADC cinema display with newer macs. I have a Belkin DVI ADC adapter, but unfortunately the ADC end is "female" (i.e. the same as the monitor cable end), obviously for people wanting to plug a newer monitor into the older Mac. I want to do the opposite: that is, continue to use the old display. Is there a simple solution? Or is hunting down the $200+ ADC/DVI box the only option? If so, I'll have to give up on the Cinema display.

= no good