Notice I Corinthians 1:10, "Now I beseech you, brethren, by the name of our Lord Jesus Christ, that ye all speak the same thing, and that there be no divisions among you; but that ye be perfectly joined together in the same mind and in the same judgment."  Perhaps no better verse than this could serve to answer the above question, and certainly it does not even require commentary to be understood in its simplicity (but that would make the column too short, so we will look more closely at this Bible answer).
    This verse points out that God desires unity, "that there be no divisions among you."  I'm confident that when God considers denominationalism He is angered at all of the disunity that is found there in and disappointed at the error which is espoused from one hand or another, for that first denies the unity that He desires, and second the worship that He requires.  To support the latter part of that statement consider the phrase, "that ye all speak the same thing."  He wants those who purport to follow Him to do so in the way that He has dictated, and to do it in unity with others who are doing the same thing, "that ye be perfectly joined together in the same mind and in the same judgment."  If we want to have unity with each other then we have two choices.
    The first choice is that we can be united outside of Christ.  By that I am referring to denominationalism.  They claim unity and yet the denominations add to or take away from what God has designated as acceptable in principle and practice, in worship and in life.  For example, if one group who says that it is all right to sprinkle someone instead of baptizing (immersing) them decides to be united with a group who says that it is okay drink Cokes instead of fruit of the vine on the Lord's table then they can be united, but they will be united outside of Christ and thereby will be unreconciled to and out of fellowship with God because they are erroneous in their worship and practice.
    The second choice is that we can be united in Christ.  This is what God wants, and this is achieved when individuals decide that they will follow the Bible alone as their guide, and worship God the way that the Bible said.  Notice that I said individuals.  I said that to say this:  If two are doing the same correct things than they are in fellowship with each other and in fellowship with God, therefore they are in one body (Ephesians 4:4).  There is no division in the Lord's body, you are either doing what God wants or you are not.  If you are doing exactly what the Bible teaches, then and only then are you truly a Christian, and THAT is Bible!  That is what the church of Christ is doing . . . exactly what God wants.