One suggestion for the origin of the term "Common Era" (CE) is an anti-Christian attempt to conceal that Jesus is the historical basis for the primary calendar dating system. "Common Era" has no real meaning, and even the origin of this term is unclear. A later edition (11th) defines it as the Christian Era. The first recorded use of the phrase "common era" was in 1708.
The established calendar dating system, which uses the Anno Domini ('AD') notation, is based on the calculations of Dionysius Exiguus for the birthyear of Jesus relative to the foundation of Rome. At the time, dates used the 'AD' system instituted by pagan and murderer Emperor Diocletian, which used the first year of his reign as year 1. (In that system, "AD" stood for Anno Diocletiani, and should not be confused with the present-day AD system.) Because Dionysius Exiguus in the year 525 wanted to end the memorialization of an evil man who persecuted Christians, he invented a new numbering system based on his calculations of the birth year of Jesus Christ. However, as he miscalculated, the terms BCE/CE are more accurate than BC/AD as the last few years BC were not actually Before Christ, and hence 1 AD is not actually the first year after Jesus' birth.
While the use of the phrase "Common Era" has existed for hundreds of years, only recently have politically correct liberals attempted to replace all instances of 'AD' with 'CE.' The original use of 'CE' was to avoid the common practice of countries basing their dates on when their rulers reached power  or were born, i.e. the "regal era" from the birthdate of Jesus Christ, which belonged to all men "the common era." While use of "Common Era" attempts to erase recognition for the Christian basis of the calendar, there are no similar attempts to erase non-Christian religious names from the calendar, such as the days of the week named after Norse gods. Numerous texts, particularly schoolbooks, have replaced "B.C./A.D." with "Common Era" symbols over the past decade. This is part of a United Nations effort to remove Christ from the Christian calender and replace other cultures' orthodox calenders with it. 
CE and Observant Jews
Observant Jews are prohibited from uttering or writing "Christ" as it is considered a title of divinity and confirmation that Jesus Christ is the Messiah. Since Jews have been killed throughout history for refusing to accept Christ's divinity, they consider it a betrayal of martyred forefathers, and look at having to write "Christ" (or an abbreviation) much the same way a Christian would if forced to step on a crucifix. Most Jews would not mind writing "before Jesus," and readily accept that this is the basis of the calendar, because Jesus is a name and not a title implying Godhead. For Jews, CE is a way to use the calendar rooted in the birth of Christ without having to (in their minds) declare their personal acceptance of Christ as Savior.