Thatcher was, as they say, the monkey. The organ grinder was the British electorate which voted to put her in and keep her in. (And that includes the majority who hated all she stood for, but weren't able to use their heads and vote tactically to get shot of her.)
I'd describe Ann Widdecombe more as a Card than a buffoon. I wouldn't want her running the country, but I wouldn't mind her as a next door neighbour. If a Thatcher was to move in, I'd move away like a shot. (If it was Tony Blair I'd probably stay put - but if I hadn't got a six-foot fence in my garden I'd put one up.)