I think this should put your mind at ease.
"Although the Scriptures were originally penned under the unerring guidance of the Holy Spirit, it does not follow, that a continued miracle has been wrought to preserve them from all error in transcribing. On the contrary, we know that manuscripts differ from each other; and where readings are various, but one of them can be correct. A miracle was needed in the original production of the Scriptures; and, accordingly, a miracle was wrought; but the preservation of the inspired word, in as much perfection as was necessary to answer the purpose for which it was given, did not require a miracle, and accordingly it was committed to the providence of God. Yet the providence which has preserved the divine oracles, has been special and remarkable....The consequence is, that, although the various readings found in the existing manuscripts, are numerous, we are able, in every case, to determine the correct reading, so far as is necessary for the establishment of our faith, or the direction of our practice in every important particular. So little, after all, do the copies differ from each other, that these minute differences, when viewed in contrast with their general agreement, render the fact of that agreement the more impressive, and may be said to serve, practically, rather to increase, than impair our confidence in their general correctness. Their utmost deviations do not change the direction of the line of truth; and if it seems in some points to widen the line a very little, the path that lies between their widest boundaries, is too narrow to permit us to stray. "
Please read the whole thing
http://www.bible-researcher.com/kutilek1.html
"The only English Bible translation currently in print that the writer is aware of which is based on the Westcott-Hort text is the New World Translation of the Jehovah's Witnesses."
P.S. I think it's ironic that the Westcott & Hort (the one that, at least in this verse, leans much more toward the diety of Christ) is the one the NWT is based on.
P.P.S. If you click on the link it takes you to the bottom of the page. Please scroll to the top of the page and read the whole thing. It's worth it.
Peace (Philippians 4:7)