MacBook Pro configuration would require the 2.6GHz or higher cpu, 16GB of ram, and external USB 3 or TB drives. That configuration would be atleast $2500 depending how much farther you configured. The performance though would still be less than your current Tower. I would talk to your new IT department reps and ask them what upgrade options they would support with the workstation you have. However if mobility is a key specification the the Macbook Pro would be the way to go if you prefer Mac.
Your current desktop rig would really fly with 1 to 3 additional 7200 rpm drives and an Nvidia video card that supports Adobe's MPE (mercury playback engine). The 970 cpu is pretty awesome, but you single hard drive + 1 SSD is really not going to move data around quickly enough to keep up. The suggested MPE video card helps tons too, particularly with HD format workflows regarding the timeline and rendering.