Don't think this is science fiction luoto, already back in 1996 NASA did testing with advanced ATC systems that may very well transmit such information to the screens of the controllers.
Would require some modifications though and as these will cost money they may never jump across the "cost-benefit-fence" unless we have two A380 colliding over a major city because a controller gave other advisories and a crew would not have complied with their TCAS alert...