It has been done. I believe Lingerfelter is testing one out right now. On the dyno it sounds amazing. However...............
With a flat plane crank, you get 1.44 times the vibration of a 4 cylinder with the same stroke and piston weight. The longer the stroke the more vibration. This is caused by the difference in piston speeds of the bottom and top pistons.
If it was just as simple as a billet crank and cam I would have been all over it. It would not cost much more than a 180 degree header system. You would also get the benefit of better scavenging and breathing.
The reason only really high dollar cars have flat plane V8's are as follows:
1. Requires very lightweight reciprocating mass (ie pistons, connecting rods,,ect,,$$$$$$)
2. Engine durablity goes way down, the bearings just can't take the punishment, meaning it would get expensive unless you only drive it 3000 miles a year (like more Ferrari's)$$$$
3. Vibration is hash were the ride would suffer, unless the engine was small. With a small engine you need to rev the heck out of it to get any power and need it to breath really well, meaning variable valve timing, lightweight valvetrain $$$$$$$ again.
It's not a matter of if it can be done. It's a matter of how much you want to spend to get "the sound". With all that spent on it get a V10 or V12 (if it fits), at least you have a lot more durability than a flat plane V8
I don't know how to embred video so here is the link
Lingenfelter 358 CID LSx Flat Plane Crank Engine - YouTube