A "right liberal" -- the term was invented by Lawrence Auster, if I'm not mistaken -- is someone who bashes liberalism while accepting the premises of the liberal worldview. Usually this involves claiming that liberal policies actually harm not Americans in general, but the liberals' own pet subcultures.
An example is "professional blogger" (which I suppose means he is a penny-a-line paid writer) John Hawkins at Townhall.com.
In a column headed "5 Common Political Beliefs That Simply Aren't True" he says:
The sad truth of the matter is that most Americans don't pay much attention to politics and those that do often just parrot doctrine instead of investigating issues with an open mind. This allows lies, myths, and dubious assertions to live on long after they should have shriveled and died in the light of day. Here are just a few of those diseased assertions that have continued to circulate in the body politic long after they should have been cured.
John, my good man, your metaphors are running wild and need parental discipline. "Shriveled and died in the light of day"? ""Diseased assertions that have continued to circulate in the body politic long after they should have been cured"? Please.
But to the message. His examples of untrue political beliefs include: "Affirmative Action is a pro-black policy." "Being for illegal immigration is a pro-Hispanic policy." Then a couple that are defensible, although it's dubious that many people actually believe that "the more money we put into education, the better our schools will perform."
Finally, "Being tough on crime is a racist policy."
In his backhanded way, Hawkins is saying affirmative action is bad not because it's anti-white discrimination but because it's unfair to blacks. Illegal immigration should be opposed because it's not really pro-Hispanic. As for being tough on crime, "If racists really were in charge of our justice system, being soft on crime would be one of the most effective ways that they could hurt black Americans."
Everything has to be calculated in terms of its benefit to "persons of color" or whatever the current politically correct expression is.
And this Hawkins customer thinks he is "right wing," or so one might gather from the title of his (paid-for?) blog, Right Wing News.
I offer another common political belief that isn't true (John, you or your copyeditor will notice I omitted "simply": intensifiers are usually a crutch used by weak writers; take it from an unprofessional unpaid blogger). That is the belief that the Left owns the mainstream media but the Right has the Web. No. The mainstream media has the left liberals, and the Web -- with some honorable exceptions -- has the right liberals.