Flash a different region ROM
This is not possible. The XT1060 for Verizon is a CDMA phone with GSM world-compatible capabilities. The XT1053 is their unlocked GSM-only model. It would lack support for the Verizon-specific CDMA functionality that would allow it to work on your network. ROMs are very much, permanently, dependent on their device and can't generally be shifted to another device, except in the rare case that different model numbers are only for marketing purposes and the internal hardware is actually identical. It's not, in fact, JUST the carrier that's different. A lot of other functionality has to change to support that carrier.

Your only alternative would be to find a custom ROM built for the XT1060 that incorporates the specific functionality you're looking to get from the XT1053.