Ken Clarke, along with Sir Timothy Raison, MP for Aylesbury, are attributed in private papers from 1982 with the view: "Hopes nobody thinks we are going to fight the Argentinians. We should blow up a few ships but nothing more."
Lady Thatcher had marked the comment with two blue biro lines.
Sir John Page was said to be "desperately depressed" by the situation and Ian Gilmour, later Baron Gilmour of Craigmillar, said: "We are making a big mistake. It will make Suez look like common sense."
Five MPS urged Lady Thatcher to "keep calm" adding "we can get away without a fight" while others were "all taking a hard line".A similar note the following day described Stephen Dorrell as "very wobbly".
It adds: "Will only support the fleet as a negotiating ploy. If they will not negotiate we should withdraw."Meanwhile referring to Keith Stainton, the note reads: "Intends to attack the Government. His wife has large interests in the Falklands."
More top news
Arkansas has become the first US state in 17 years to carry out back-to-back executions after putting two inmates to death.
Up to three million children risk going hungry over the school holiday, with increasing numbers of families relying on food banks, MPs warn.
Tuesday will be a cold and windy day across the British Isles with a mix of sunshine and showers.