Tishri,
I understand the desire for unity. Unity lies at the heart of comm"unity".

And I am in full-on agreement that we should not be seeing anti-Torah argumentation, since the Torah is the root and core of all God's self-revelation to humanity.
However, there are a couple of details that I think need to be kept in mind regarding the ideas of "argument" or "name-calling"...
1. Unity does not mean conformity.
Differences of opinion (arguments) are not always bad things. There can be arguments "for the sake of Heaven" and arguments "NOT for the sake of Heaven". The first type is illustrated by the ongoing debates between Hillel and Shammai, which often became quite heated. The second type of argument is modeled by Korach's rebellion against Moses.
2. Labels.
Just like it is not wrong to identify a Christian flying the MJ icon, I don't see how it can be wrong to identify a set of beliefs by their proper appellation. The Messianic Movement has history, which demonstrates that the early Jewish Believers, acting by and for Christian missionary organizations, referred to themselves as "Hebrew Christians". That is beyond debate.
The title "Messianic" only gained real traction in the mid-1980's, as Jewish and Gentile Believers in the movement began to increasingly identify as part of the Jewish community. This is also clearly documented.
Basically, words have meaning. If one holds views that are consistent with Hebrew-Christianity, then one is a Hebrew Christian if Jewish; or just a Christian, if Gentile. If one identifies with the Jewish community, and approaches culture and theology from a Jewish perspective, then one is Messianic. This isn't name-calling, it is dealing with reality. Co-opting someone else's label doesn't change the meaning of the word.
That's just my 2 cents on the thread. Not trying to argue with anybody, but just point out that what seems mean-spirited or angry might sometimes just be passion and/or factual statements. Not everyone likes hearing the facts, and it sometimes leads to some tense moments. But that is often the very moment when God turns the lights on.
Avoiding argumentation because it seems more peaceful that way can sometimes parallel the well-meaning child who cut the cocoon for the poor, struggling butterfly, and thereby killed the butterfly.