You may have already found the solution at this point but I'll give you my experience with this set up so far.
It looks like the Pololu you have on hand is the S10V4F5? The one I have been using with a FunnyPlaying Retro Pixel IPS kit is the S7V7F5 and the specifications appear to be pretty close to the one you have on hand. Of course the S10V4F5 has the SHDN input as well. I don't think the SHDN would be used in the case of a DMG if I remember correctly from other posts I have seen, I would love for someone else to chime in on this to confirm though. At least according to Pololu's product page it would need to be "driven low or left floating." My only experience so far has been with the S7V7F5 model so I'm afraid I can't speak confidently beyond it but I have been happy with the Pololu branded components as a whole.
For the wiring I used my Pololu entirely in place of the original regulator, not in conjunction like a traditional backlighting method. The connection is like so:
Pololu DMG CPU Board
VIN - - - - - VCC (green top)
GND - - - - - GND (green middle, marked with G)
( - ) (green bottom)
VOUT - - - - ( + ) (red)
The connection on the CPU board that I am using for the regulator is right above where the audio board connects (the audio connection being the four through holes with the little triangle pointing to one of them) and the diagram above assumes the original green and red wires are still in place. If they're not, that's fine too. You can just use a 26 AWG wire to hook it up to the same area. The ( - ) connection (negative voltage rail) on the CPU board is not used at all in my case. After asking around I've found the FunnyPlaying IPS kit does not use the negative rail whatsoever. The CPU board schematics show the negative line going directly to the 3rd pin from the left on the ribbon cable connection if you are interested in tracing this connection on your kit to see if it's used.
I have a little 3M Command velcro-like pad trimmed down attaching the regulator to the wall of the battery compartment where the old regulator sat, makes it easy to remove the guts if needed but keeps the regulator from rattling around. I imagine some kapton tape could work too.
All in all I've been very pleased with this set up and have not had any apparent issues using the IPS along with an EverDrive X3 powered from a Pololu. Granted, the battery life has been shorter, but that's to be expected I think.
I documented some of these IPS related findings in a thread I made a few months ago (that you were kind enough to contribute to!) so if you're interested check back in on it here. Hope this helps you along your way!