Thatcher represented a blend of old-school don't rock the boat conservatism with a more deliberate effort to migrate towards a more libertarian stance of actively getting gov out of a lot of decisions. My issue with Thatcher was how the NHS factor into her thinking, the role it should or should not play and what was a sensible place of for the NHS as it pertained to the pursuit of individualism.
Recent guffaws against the chained CPI for SoSec depend, usually, on the unchained aspects of the whole health care component. And yet we do not allow the government to assert normal market volume buying leverage in this area ... WMT can exert market clout, but the governmental doing the same is forbidden by "conservatives". Specifically the ability of medicare to collectively negotiate favorable prices for drugs and such things (never mind the degree with which those drug inventions depend on publicly financed research).