I qualified it with 'those who identify themselves as strongly conservative or strongly liberal'. Obviously, that is a subset of 'everyone'. If you didn't read what I wrote, then hey, you've got a reading comprehension problem.
But as a theory, it's not bad, and the growing body of evidence supports it. And it IS fear, especially from the far right: fear of the black boogeyman, fear of infection from teh gay, fear of death, fear that other religions could supplant Christianity (or ask for equality, for that matter), fear of women not staying at home and raisin' the kids (which is a fear of disruption of 'the way society should be'). What do you do with those you fear? You wage war on them. The 'War on Terror', 'War on Drugs', 'War on Iraq', blah blah. The entire Republican ideology runs on fear. It is the gasoline that fuels their ideological car, and without it, they'd have nothing. And that works on their base, because their base IS those who call themselves 'strongly conservative'. That's also why the politics of fear *doesn't* work so well on the left -- the 'strongly liberal' people just aren't as scared of shit, and that's the Democratic base.