“Never, never be afraid to do what's right, especially if the well-being of a person or animal is at stake. Society's punishments are small compared to the wounds we inflict on our soul when we look the other way.”

— Martin Luther King, Jr.

A Usenet post https://groups.google.com/forum/#!original/alt.animals.ethics.vegetarian/dx5B6E7Px5Y/BqpR-Wun--IJ ( additional archive http://archive.is/nMSX8), from 15 Jan 2006, with Message-Id: YVuyf.2919$2x4.2240@trndny05 , from "penny", contains the full text of the quote, with NO mention of it being a quote, or MLK, or anything of the sort. That strongly suggests it is the original source, which was later mis-attributed to Martin Luther King, Jr.
Misattributed

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Martin Luther King, Jr. 658

American clergyman, activist, and leader in the American Ci… 1929–1968

Terry Tempest Williams (1955) American writer

Source: When Women Were Birds: Fifty-four Variations on Voice

“Eliphas never abandoned his belief that the fate of man is the result of justice, that we do not know all our shortcomings for which we are punished, nor the way how we incur the punishment through them.”

Maimónides book The Guide for the Perplexed

Source: Guide for the Perplexed (c. 1190), Part III, Ch.23

“It’s only one planet. It’s all we have. So what we do here affects the other side of the planet in ways we never know. … I am [vegetarian] too, but leaning towards veganism. … I give people the dirtiest look when we walk down the street and see someone wearing fur. He gets embarrassed because I will look at them like, how could you even walk out of your house like that? You might as well be wearing my dog. What are you doing? I started getting into animal rights when I met him [Corey Feldman], but I’ve always loved animals.”

Susie Feldman (1982) American actress

"Farm Sanctuary Exclusive: Corey and Susie Feldman Are Proud To Be Veg!", interview with Ecorazzi (11 December 2008) http://www.ecorazzi.com/2008/12/11/farm-sanctuary-exclusive-corey-and-susie-feldman-are-proud-to-be-veg/.

“It's a tough war we're in. It's not going to be over right away. There's going to be other wars. I'm sorry to tell you, there's going to be other wars. We will never surrender but there will be other wars. And right now - we're gonna have a lot of PTSD to treat, my friends. We're gonna have a lot of combat wounds that have to do with these terrible explosive IEDs that inflict such severe wounds. And my friends, it's gonna be tough, we're gonna have a lot to do.”

John McCain (1936–2018) politician from the United States

http://www.huffingtonpost.com/2008/01/27/mccain-warns-there-will_n_83459.html
2000s, 2008

“If you look at human society, it is very easy, of course, to compare our warfare and territoriality with the chimpanzee. But that's only one side of what we do. We also trade, we intermarry, we allow each other to travel through our territory. There's an enormous amount of cooperation.”

Frans de Waal (1948) Dutch primatologist and ethologist

The Bonobo in All of Us (2007)
Context: If you look at human society, it is very easy, of course, to compare our warfare and territoriality with the chimpanzee. But that's only one side of what we do. We also trade, we intermarry, we allow each other to travel through our territory. There's an enormous amount of cooperation. Indeed, among hunter-gatherers, peace is common 90 percent of the time, and war takes place only a small part of the time. Chimps cannot tell us anything about peaceful relations, because chimps have only different degrees of hostility between communities. Whereas bonobos do tell us something; they tell us about the possibility of having peaceful relationships.