AllorNothing,
I think, although some values are certainly the same, the essence of that mission statement is different from the Bible. You quoted several verses that correspond to the values of the mission statement, but how many verses of the Bible could be used to differentiate Christian teachings from this atheist paragraph?
For example:
1. An Atheist loves himself and his fellow man instead of a god.
Matthew 22: 36-40
"36 Teacher, which is the great commandment in the Law?” 37 And he said to him, “You shall love the Lord your God with all your heart and with all your soul and with all your mind. 38 This is the great and first commandment. 39 And a second is like it: You shall love your neighbor as yourself. 40 On these two commandments depend all the Law and the Prophets.”"
So, although the Bible and the mission statement agree on loving our fellow man, they certainly do not agree about loving God.
2. An Atheist accepts that heaven is something for which we should work now -- here on earth -- for all men together to enjoy.
Philippians 3:20-21
"For our citizenship is in heaven, from which also we eagerly wait for a Savior, the Lord Jesus Christ; who will transform the body of our humble state into conformity with the body of His glory, by the exertion of the power that He has even to subject all things to Himself."
Not only does this passage state plainly that heaven exists, but it also implies that there is a lot of our existence (our citizenship) left to experience in heaven. The atheist statement says that we are here for a small amount of time and that is it, so we should make the best of the lives we have. Although Christianity may not disagree with the sentiment of making Earth the best we can make it, there is clearly a discrepancy between believing in eternal life after Earth and not believing it.
3. An Atheist accepts that he can get no help through prayer..
1 John 5:14-15
"This is the confidence we have in approaching God: that if we ask anything according to his will, he hears us. And if we know that he hears us - whatever we ask - we know that we have what we asked of him."
Clearly this passage implies that prayer is effective to some degree. Admittedly, the Bible does say that you shouldn't pray for frivolous things out of greed, but it is obvious that Christianity preaches that we gain something out of prayer, otherwise, why bother doing it?
4. An Atheist accepts that only in a knowledge of himself and a knowledge of his fellow man can he find the understanding that will help to a life of fulfillment."
Hosea 6:3
"Let us know, Let us pursue the knowledge of the LORD. His going forth is established as the morning; He will come to us like the rain, Like the latter and former rain to the earth."
The key word in the atheist sentence here is "only." Christians would certainly believe that knowledge of God would also be crucial to fulfillment in life (even if the only knowledge was in his commandments). Atheists don't believe in God, so we obviously don't think knowledge in the supernatural is necessary.
All that aside, I really only had 2 points to make here.
1) Bible verses can be used to back up almost any claim. The Bible quote used probably says more about the person using it than it does the Bible itself.
2) There are certainly places where Christian and atheist values intersect, but to suggest that atheists are unknowingly following Christian values to the letter is silly. There exist notable differences between Christian teachings and this atheist mission statement that you posted.