It's a fallacy promoted by the major parties that people are either conservative or liberal, the parties don't want anything to upset the "us or them" partisan paradigm that they have used very skillfully to divide much of this country into two warring camps.
The fact that the majority of people fall somewhere in between the "right" and the "left" is almost never mentioned.
Myself I agree with some ideas from both sides, I'm fiscally more conservative: lower taxes, smaller govt, less social spending etc. But I also agree with some of what
used to be considered liberal ideas: take drugs, marry who you want, abort that baby that's your decision not mine. That's called leaning Libertarian and the partisans from both sides have for years been very successful at totally smearing such "dangerous, radical" ideas.
But in this era of hyper-partisanship just admitting to ANY of the principals considered "conservative" gets one labelled as a "right winger" by party partisans like Clampett and our very own Canadian Democrat so I usually just read and laugh.