At times these seem to be at odds, but at the deepest level they may be One.
I am not fond of much of the New Age movement. Sometimes my thoughts about mysticism may seem like the New Age, but I think that is because the New Age has adopted a lot of mystical language and concepts, not that classical mysticism inherently belongs to the New Age. They are two different fields, which have some overlap. The New Age developed just in the 1970s. Mysticism has been around for millennia, indeed, for all of human history, in every part of the world.