Some people I really respect, such as Andreas Köstenberger, argue that the term “incarnational” as used to describe our mode or model of ministry is unhelpful and misleading, because it makes Jesus’ specific mission of atonement for sin less unique and trivializes the actual incarnation event. But I think the term is great. As Alan Hirsch says, “The implications of the incarnation for mission are massive.”
Ed Stetzer has a great series arguing that the term “incarnational ministry” is not only biblically justifiable, but necessary and incredibly helpful. You can read it here: Why We Should Use the Phrase "Incarnational Mission" (Part 1 of 3), Part 2, and Part 3.
See also the Infinite Translatability of the Christian Faith.