The short answer is no and yes. The answer is no if you mean complete agreement in all things. The answer is yes if you mean the core doctrines of the Christian faith. When we say we have to have “unity without uniformity” we are talking about the first. We are saying that the Bible itself never required complete agreement in order to have unity in Christ. However, there are things that we must have uniformity of beliefs on in order to be Christians. In order to tease this apart we have to come to grips with the fact that in the Bible never every matter is of equal importance to God. God gives us leeway to differ on various matters. This is our religious liberty. But we do not have the liberty to differ on things like Jesus being the Christ, his death, burial and resurrection and several other “core doctrines.” Our problem has been that the way we have read, interpreted and applied the Bible we have often found a way to elevate every doctrine to be “core.” That is not, in and of itself, a biblical conclusion.
So yes we should have unity without uniformity and no we shouldn’t. It all depends on which issues you are talking about.