GaryNeal, I never imagined you a dad with young kids. I FEEL YOUR PAIN my friend about the JW babysitter situation. When I was still married and active JW I had two JW friends watching my kids while I was at work. Once I exited and was divorced I kept it up because there was so much change and I did not have time to get another situation down. So this summer I completely changed that and got a college girl to be my nanny while I was at work. It was great. I obviously did not pluck her off the streets and actually she was the sister of a girl I used to work with, and it turned out to be a good situation. My next option was to use care.com. It is a new website that I know people that have found great sitters and nanny/babysitting services and other stuff too. If you can convince your wife to maybe have someone come to your house, it might not be any more expensive.
My JW sitters were still being too overbearing for my taste so I had to do what needed to be done. Good luck!