I think a key component of deciding between the 1-3-1 and 3-2 is the versatility of you 2,3, and 4 positions in OD/ID.  
Just as it was mentioned I would hesitate to play a 1-3-1 with a PF that has a low OD, but I would also hesitate to play this defense with a 2 that has a low ID as well.  In theory this defense is a trapping perimeter defense where the PG forces the opposing PG into a trap.  The PF plays more of a centerfield alignment and the opposing wing is responsible for activity above the free throw line.  An effective 1-3-1 then re-traps the second pass.  
If you have a PG that is a fantastic defender, you will see the OD rating be higher.  
The caveat to all of this is that you will absolutely get killed against Look Inside and Low Post if the opponent has decent bigs.
Technically what you are asking your team to do is to have your best perimeter defender guard the PG, and your best interior defender isolated at the hoop as a last line of defense.
When I play 1-3-1 I match my best OD at the 1, best ID at the 5 and then play my most versatile defenders (ideally a min of resp OD, resp ID at the 3 and 2, and no worse than Med OD at the 4).  
3-2 I utilize when I have guards/wings that have good OD but aren't strong inside.  The middle is open a lot and you are leaving your bigs one on one with no help from perimeter defenders.