Switching to minimal shoes is a process and a lengthy one at that. If you have a tendency to get calf or achilles issues, then that process will be even longer. Minimal shoes have a lower heal to toe drop than traditional (0mm or 4mm as compared to 10-12mm) Keep doing short and easy runs a few times per week with the minimal shoes, using your traditional ones for everything else. Then as your feet and biomechanics adapt, slowly, very slowly lengthen the duration and mileage run in them. I've seen way too many people jump into minimal shoes and have paid the price....go easy and use it as a training tool, then see how your body reacts to it -always listening and feeling for the onset of injury.
The pureconnect is a great shoe...quick ? though, what is your standard running shoe? But to answer your question, yes its normal for your arches to ache as you've taken away the support, lowered the heal and have thus altered your stride and biomechanics -do that and something will show up as the weak link.....your arch.
Most of the advice you get on minimal shoes is bad and the web is filled with crap. Do what's best for you and go easy. THen enjoy!