I would be careful about ordering the Bartos without doing some very careful measurements. OEM Hofners have a pickup that is slightly about 7mm wider across the body and 5mm skinnier than a Rickenbacker pup. My guess is that the pups that come with the kit are standard mini-humbuckers that are closer to the Ric size, so they may fit, but I'd check first.

I am not sure what sort of control panel the kit comes with, but I am curious. Here's what the OEM panel looks like...

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It has a kind of unique array of caps and resistors, that I am guessing are optimized for the Hofner pups.

From what I can make out of the kit, the panel is a simplified version of the OEM. One volume for each pup. One switch to turn on/off each pickup. One switch to engage/disengage a tone cap. That should work pretty well with the Bartolinis. You may want to try different tone cap values, but aside from that you shouldn't have to change the panel.