Short answer, although you can sync much faster than the typical 1/250 or 1/300 with auto FP on a Nikon, I don't believe this option is available on the D3200
I use it all the time and routinely sync 1/4000 or faster with a Nikon Speedlight
Sync speed is only half the problem, Other issue is the flash duration ( you need a fast duration to stop motion )
The Alien Bee 800 tops out a about 1/1000 since , just like most other monolights like the Elnchrom RX etc
This is why the Einstein is such a step above the Alien Bees ....in action mode it can sync much faster .
This is a good read explaining why IGBT flashes like the Einsten have much shorter duration capability
http://www.paulcbuff.com/sfe-flashduration.php
Speedlights by design have very short duration
Having said all, that ,even with good triggers such as Pocket Wizard running Hypersync and a short duration flash like the Einstein or Speelights, it is still not fast enough to completely freeze bullet motion
If you do the math, even at 1/4000 SS , the bullet moves enough that it will blur