I really see no problem with calling them Christian though. They are trying to be Christ like. Sure, they may not agree with your form of being Christ-like; however, I see no reason to assume you have a monopoly on such ideas.
I don't claim to own the monopoly, I claim to have a position that disagrees with them. Thus, my position is that calling yourself "Christian" without a hyphenation, even if with "Nazarene-Christian" or "Ebionite-Christian", it is less audacious than the term "Christian" of which the definition is ill-defined to the point that its essentially held by the "orthodox" establishment due to its historical use alone. Most "Protestants" I've talked to who hold the recognizable place called "Christian" in their discussions about Mormons often don't consider them "Christians". They will say JWs aren't "Christians" because they don't hold to the Trinity. The popular CARM site and others that represent where they get their doctrinal views outright declare those who don't believe their way aren't "Christians".
It becomes a challenge to the claims of monopolies of others.;
Nonetheless, the question of how "Christlike" they try to act and what their idea of "Christlike" is is definitely open to debate.