This is an awesome thread and great question! I too am in church ministry - liturgy director. Got the same issue with weekends, but it's a vocation so what's a girl to do?
I would have to agree with most everyone on here that being too religious is not a turn-off to the right person. Being too busy is. That's something I've had to think long and hard about: making sure that my five kids and my liturgy job (part-time) don't fill my every moment so much that I have not created a space in my life for a special someone to occupy. I have to remember that there is always more to be done, but I have to concentrate on more to BE. We are created as human BEings, not human DOings.
On the flipside, my dream guy would probably be someone who could truly appreciate and even join me in ministry. As long as he was not to busy to do other things together that we enjoy....and just "BE" with me.