I don't know what rock you've been living under or even if you're old enough to have been living under your rock for long enough to voice an opinion, but Thatcher/Reagan/Feingold are pretty much made from the same demeanor mold: They are unpretentious, being fully comfortable in their own skin. They are focused and given to a cause higher than self-promotion. They are gracious integrators of people and do NOT ask the other side to “sit in the back of the bus.” They are the giants who upon leaving office cause people to remark, “Sadly, it will be a long time before such stature is seen again.”
Thatcher was quite harsh and callous in her rhetoric about the people she considered her enemies, whether it was the miners or the poor. Very unlike Reagan. Completely comfortable in her own skin, but it was a suit of armor. She was successful in part because that was sufficient to get a plurality of the vote in the UK in the economic and social conditions at the time.
Her political style with elected officials and voters alike was the opposite of "integrating" people she disagreed with... she was always "my way or the highway." Absolutely, 100%. Are you familiar with how she treated her first Cabinet?