The mini-plug termination is a 2-wire configuration. This is not compatable with the product in your link. That product is intended for a mic that is terminated in a 3 wire (mini-xlr). You your mics would need to be converted to 3-wire and you would need 2 of those AT8532 (it is a mono device, not stereo).
This issue is not really about phantom powering. The important part is how the mics are wired. 3-wire is better than 2. 853's can only handle a little over 9v. If you use a 48v phantom power source, it would have to be converted back down to 9v anyway.
There is a solution for a 2-wire (1/8" mini-plug) that makes the mic perform like the 3-wire version. These are known as the 4.7k or 2.2k mod.
So, you have a few options. 3-wire mod, with (2) AT8532's, or the 2-wire 4.7k/2.2k mods. There are actually quite a few more options, but the for the equipment you have I think the 4.7k mod is your best bet. Chris Church does this modification, it is rather inexpensive. If you know how to solder well you could do it yourself...