Psychology calls that "framing".
For instance, a politician will talk about either talk about "dole bludgers" or "the deserving poor". Both apparently refer to the same thing, but each is a different spin on the same subject, depending on whether that politician is anti- or pro-welfare respectively. Similarly, in the US, the Democrat's "tax cuts" are logically little different in principle to the Republican's "tax relief", but the Democrats are "cutting government income" and the Republicans are "providing relief to the poor" (*ahem*).
The idea of framing comes from
Agenda Setting theory (which is partially why I used political examples). The most famous quote by Shaw and McCombs (the progenitors of this theory is):
"Here may lie the most important effect of mass communication, its ability to mentally order and organize our world for us. In short, the mass media may not be successful in telling us what to think, but they are stunningly successful in telling us what to think about."How you frame what you're talking about will cause others to think along a specific line. For instance, a Creationist could say something on morality that at a fundamental level you may not disagree with, yet often enough that will remain irrelevant since you can still find the way they put it intellectually insulting, because they'll put a fundamentalist Christian spin on it.
Similarly, if your Buddhist were to try and talk to my fundamentalist Christian on their religious philosophies, they might actually be saying the same things (since at a fundamental level, the teachings of Gautama and the teachings of Jesus are very similar) and yet still disagree with each other.
Context is definitely a very important thing. What ideas you link what you're saying to will cause people to react differently.