Just another iteration of multifarious Protestantism.
Fundamentalist baptists would definitely not get along with them.
Only because I spent a lot of time with New Age types am I inclined to defend them. They start out with good intentions which can end up in bad places. Also, the New Age crowd has at least as many sub-groups in it as the Protestants and Catholics, as well as the rest of Christianity.
In fact, there are aspects of New Age philosophy that are almost monastic in their outlook. For many people, the stumbling block is mysticism. New Age philosophy is strongly oriented towards mysticism. AND there are a number of Christian mystics to refer to. Thomas Merton, in our time, was close to it. There was also St. Teresa of the Cross, as well as others I can’t remember right now.
Their lives were examples of singular devotion that did not fit well with the rest of the world. To some people, there is an antagonistic relationship between mysticism and organized religion. The former eschews sects, group identities and such. The latter depends on well-defined institutions, rules, etc. For some, mysticism is like a row boat where you have to do your paddling to God, while organized religion is like the cruise liner that just takes you there.
It is within this mystical context that they invoke the idea of “Christ Consciousness”. In fact, there was a book somewhere in the early 1900s that introduced this idea. The table of contents lists roughly a dozen individuals, including Jesus, of course, who most deeply embodied the teachings of Christ. And that is where we should focus, the teachings themselves, if we are to sort out whatever is going on with the Emergent Church stuff.
A clever and mischeivious theologian could easily weave together a set of beliefs that are Christian and seem Christian, but are not. To the extent that the Emergent Church downplays or disavows Jesus....well, that shouldn’t be hard to figure out.