"How exactly has capitalism caused men, women and children to die of starvation?"
The history of the last 400 years is one of capitalist expansionism and slaughter in order to increase private capital. It is not possible for capitalism to function peacefully within defined borders. In order to increase return on capital, there must be constantly expanding markets and sources of material, accompanied by the misery of wars of conquest. Hence the British empire in the 18th and 19th centuries which lead for example to the total extermination of the Tasmanian people, and near extermination of many other societies, including native Americans. Capitalist empires also distort the economies and cultures of countries they colonise, stopping them producing food for their own use and producing commodities like coffe, tobacco, and cotton instead. India and China suffered greatly from this type of policy.
In the 20th and 21st centuries the USA has become the most dominant capitalist power and seeks to expand its power by ever more violent means in order to secure markets and raw materials.
In a capitalist society, there is no profitable return on feeding the millions who die each year from starvation. How can we create a society which would regard with horror the thought of another human being dying of hunger in the midst of plenty, instead of just shrugging our shoulders and saying "well, that's the market"?