The AMPS hole pattern is an industry standard. You will need a wireless charger that can somehow adapt to it. The iOttie charger I use has a 17mm ball connection on the back, so I bought a 17mm to AMPS adapter, similar to THIS.
EDIT: It looks like the charger you bought has a ball mount. Just measure the diameter and see of you can find an AMPS ball adapter that matches the size
Looks like you accidentally linked to the non-Qi version of the iOttie dock. The Qi enabled one is like $65 bucks. I think this is the one you intended.
I have a solid mounting solution for my car that sits nicely out of the way and still accessible. Took a few tries, but settled on this combination:
iottie QI charger, connected to a ram mount ball, mounted to my dash via proclip.
http://www.amazon.com/iOttie-HLCRIO132-Wireless-Standard-Charger/dp/B00UXS7958
http://www.amazon.com/Mount-RAM-HOL-GA22U-Plastic-Cradle-StreetPilot/dp/B001QD8Q5G
Right. Got a bit carried away there.
https://www.amazon.com/gp/aw/d/B00UXS7958/ref=mp_s_a_1_12?ie=UTF8&qid=1487902625&sr=8-12&pi=AC_SX236_SY340_FMwebp_QL65&keywords=iOttie
The issue with the iOttie is that it is not fast wireless charging, but they do have a new version out.
I replaced my iOttie https://www.amazon.com/iOttie-HLCRIO132-Wireless-Standard-Charger/dp/B00UXS7958/
with this one - dodocool Qi Wireless Charger 10W 3-coil Fast Wireless Charging Car Mount: https://www.amazon.com/gp/product/B06XD7WJDL/
The dodocool has a goofy name but works well. It is able to charge my phone while using Spotify and Google Maps at the same time. FYI Waze does seem to use a bit more juice than Google Maps.
Also, I like how it has the vent clip style mount included as I never have had any luck with the suction cup base mounts staying put after a hot day.