Your attempt to redefine moderate is self-serving. Moderates are not conservative. They are moderates. People self-identify as conservative, moderate or liberal. They do not identify themselves as conservative, conservative or liberal. Moderates agree with some things conservatives believe and some things liberals believe. They are neither inherently conservative or liberal.
The idea that "if only people knew what I believe, they'd support what I believe" is a narcissistic ideological trap.
Conservatives who believe that the best way to win moderates is to get even more conservative misunderstand moderates and politics.
Why does this keep happening? We keep getting "geniuses" telling us how things are but not offering examples or evidence. Here's another page reeled off by liberal lefties, inserting their unfounded opinions as facts and attempting to shut down the debate.
There are VERY few ACTUAL political moderates. I've covered this already, it's part of the human psyche. People would rather be identified as "moderate" than any form of extreme. They may view "liberal" and "conservative" as extremes and simply call themselves a "moderate" because that's what they believe they are. When you begin questioning a moderate on specific issues where a position is required, they are mostly conservatives or liberals. Likewise, the label "independent" does not mean moderate.
Moderates agree with some things conservatives believe and some things liberals believe.
Or is this what you've told yourself makes a moderate? Moderate is neither an ideology or philosophy, it is a measure of degree. Generally speaking, it is the opposite of "extremist." Aside from the fact that most people would rather identify as moderate as opposed to extreme, their political views lean left or right most of the time. For instance, how many ACTUAL people do you know who are, say... opposed to legalizing marijuana but favor gay marriage? Or they are opposed to gay marriage but they are pro-choice?
When we cut to the core and look at raw definitions, a true conservative is mostly a moderate.
Moderate: kept or keeping within reasonable or proper limits; not extreme, excessive, or intense.
Conservative: disposed to preserve existing conditions, institutions, etc., or to restore traditional ones, and to limit change.
Most moderates are conservatives and most conservatives are moderates. It's merely a different way to describe the alternative of extremist liberalism, which is an ideology.