My fiance and I are from two different countries, ethnic back grounds and religions. He is Catholic and I am muslim. He wants to get married in a church, maybe a non-denominational one but I am not sure that would be appropriate for my culture.
A non-denominational church may be very uncomfortable for you and and your family. Having said that many university chapels, all Unitarian Universalist churches and many Quaker meeting houses are very interfaith in nature. Here in New York we do many interfaith, intercultural unions at the U.N. Chapel. You would have to go visit and see if these churches feel comfortable for you. My feeling is that BOTH of you need to feel comfortable. There are many other options as to where your ceremony can be held.
My book, Joining Hands and Hearts: Interfaith, Intercultural Wedding Celebrations: A Practical Guide for Couples can guide you in every aspect of ceremony planning...including the history of your faiths and traditions, legalities, selecting the site and officiant, structure of the ceremony, music, vows, blessings, readings, rituals (all explained and fully scripted for an intercultural, interfaith assembly of people). All language is inclusive. No one will wince or feel excluded.
For example: There is the lovestory and completed ceremony for a Christian/ Muslim couple and a Jewish/Muslim couple within JHH.
Besides the sections on Christianity and Islam, I would suggest that you look also at Sufism and Universal Passages for Any Wedding....
In my humble opinion, with two traditions, you are twice blessed!