1. Would you find it disrespectful for someone ask you to participate in a religious ceremony that contradicted your own?
Not at all. I'd take it in the spirit offered. Isn't that what we do every time we attend a wedding in a place of worship that's not our own?
2. If you said no to question one, would you find it disrespectful if your decision was judged by them?
Yes. No one should be judged for conscientiously objecting to such a request.
3. Have you ever asked someone to participate in any religious rituals or ceremonies like praying, communion, wiccan ceremonies, etc? Were you nervous to ask?
I don't have a strong enough conviction in my own religion to ask others to participate in it unless they made their interest known.