I'm going to explain why these terms have no weight whatsoever, other than labeling one as part of a team.
The two parties we have are both only interested in staying in power; making sure no Libertarian candidate ever have the possibility of winning. They have general ways of going about things, but they aren't formed by consisted philosophical ideologies. The parties change and shift their positions based on the current political climate.
Conservative and Liberal; this is a little better, but still not what we need for accurate descriptions. These terms mean very different things depending on where you are in the world and what decade it is. One could call it a way to determine a position on a particular issue, but it doesn't accurately describe an ideology for societal function.
Right and Left. Okay now we're getting close, but it's still not there yet. People will know what you mean when you say these terms. However, you run into a similar problem that the last set of terms has; it depends on geography and time. For instance, the Left in America has moved much further left than it was four years ago, but the Right has been relatively consistent. It gets complicated when you factor in the idea that the Right has become a bigger tent encompassing conservatives, liberals, moderate lefties, libertarians, and a whole bunch of other labels. What's more is that these terms do not have an inherent meaning on their own. For a person with no context "right" and "left" are literal directions or sides of some tangible object, not political ideologies.
So what, Jack? What I suggest is a landscape of two perpendicular axes. The X axis is represented by a scale of collectivism to individualism (collectivism being to the left of the Y axis). The Y axis is represented by a scale of Authoritarianism to Libertarianism (Authoritarian being below the X axis). So I happen to be in the upper right quadrant as a Libertarian Individualist. These terms have inherent meaning and they are very descriptive of how I would ideally structure government and also how I would decide on policy. You might say that sounds a lot like the political compass and it does, but it replaces the pointless terms left and right with collectivism and individualism respectively. I also switched the directions of Libertarian from down to up because why not; I'm a Libertarian ;)
I want to hear additional ideas on these terms and perhaps others. Thanks for reading and have an excellent day.