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Did you examine the contacts for corrosion? Maybe what you have can be cleaned off and put back into service? Make sure not to fire the bulb up with fingerprints on it, can crack it.
Here is what looks like the aftermarket replacement for the Xenon driver module, $100:
They also have the
HID bulbs:
Electrical-Bulb & Socket Parts and More for Your 2012 FORD EXPLORER at Reliably Low Prices. Fast Online Catalog. DIY-Easy. Your Choice of Quality. Full Manufacturer Warranty.
www.rockauto.com
I'd imagine you only have one or the other failed, not both the bulb and the driver.
I don't know about "forced" since you could try to scavenge some if not the whole thing at a junkyard, but from what I see on Rock Auto, there are different lens/housing part #s according to vehicle build date:
FO2518111 {BB5Z13008P, BB5Z13008T, BB5Z13008V}
Left; Xenon/HID (High Intensity Discharge); To 1-14-11
VARIOUS MFR FO2519111 {BB5Z13008K, BB5Z13008S, BB5Z13008U}
Right; Xenon/HID (High Intensity Discharge); To 1-14-11
FO2518127 {BB5Z13008V}
Left; Xenon/HID (High Intensity Discharge); From 1-14-11
They list no right, xenon/HID From 1-14-11
That's just Rock Auto, the driver you pictured can be had for $42 on ebay
Various places sell the D3S bulbs cheaper than Rock Auto too, but I don't know what color temperature your originals were, to match the new bulb to the old. It may have a sticker or part # you can use to look that up. On Amazon the bulbs run from $22 for brands I've never heard of, to about $70 and up for major brands.
As far as conversion, you're going to want both the left and right sides the same, either stick with xenon HID or switch both housings and bulbs to halogen, then I don't know what else is involved with that, probably a connector change and possibly something related to the lamp out warning system. All of that could also be scavenged from a junkyard if they don't have any donors with the HID option, only halogen.
However I also notice there may be differences among the halogens for your model year, on Rock Auto they have one that states: From 1/21/2011 (vehicle build date).
Body & Lamp Assembly Parts and More for Your 2012 FORD EXPLORER at Reliably Low Prices. Fast Online Catalog. DIY-Easy. Your Choice of Quality. Full Manufacturer Warranty.
www.rockauto.com