Well it depends if we were all the same denomination of Christianity then yes it would be fine. We would all be in agreement about how the world should be and accept the consequences of that. Even those groups which Conservative Christians are hostiles too such as gay people would be fine as they would not be "practicing homosexuals" or believe that they would stop being gay through being closer to god; I admit thats a gross oversimplification of the relationship between homosexuality and Christianity but you get the picture.
If we were all Christians but divided into different sects (and considering there would now be 7 Billion thats quite likely) then we may be in trouble...