Her public positions on the issues are arrived at purely from political calculation (as was her decision to remain in her adultrous marriage) rather than from her real beliefs. A big achilles heal for her at this time is her vote in favor of the Iraq war, which has alienated her to some degree from the radical left-wing nutcases that would normally be her most enthusiastic supporters.
But surely that's a good thing for her? If she distances herself from the far left of the party (though I personally wouldn't describe them as radical left-wing nutcases) she can portray herself as a moderate with the wider electorate. (I personally think she
is fairly moderate, but as usual, perception is everything in politics.)