Would it be tacky to have an open church ceremony and small reception at the church with some finger foods and punch and have a separate private reception later in the day for close family and friends? I do not want to be rude and I want to provide guests time to mingle with us after the reception, but because of budget restrictions I would not be able to invite all guests to a reception with food and dancing. I have contemplated a private ceremony and reception with just close family and friends, but it is hard because I am marrying a pastor and I do not want to cause problems with his congregation (I also am a member and attend church there as well). This adds another 80 people.
Answers
The dinner you have later is a separate event, and not your wedding reception. It's you and your future H taking out some friends and family for dinner. Which I think is fine- no reason you can go out for dinner later with some people if you've had a cake and punch reception. Otherwise, I feel like it would be saying, "if you have a cake and punch reception you must immediately retire home or to the hotel and do nothing else".
However, dinner should be a separate invitation with no mention on your wedding invitation or wedding website.
I see how your husband being a pastor would incline the two of you to choosing such a wedding+ reception, which is fine.
I agree that an open ceremony with "closed" reception is not cool.