Society should care about people making profits because otherwise those people do something else instead of providing goods and services. What happened in Communism is instructive on this point. Now if you want to argue that the pursuit of maximum profit as an end is a problem, there's a case to be made. The US had something like a marginal tax rate of 90% around the 1940s/1950s, if I recall correctly, and it obviously didn't hurt innovation, but people got paid in perks and corner offices and status instead of just money.

I think people are misled by Marx and derivatives, and misdiagnose the problem. I don't think people are upset by the CEO making lots of money as much as they are by the HBS management style of using people as a tool, or even as interchangeable "resources". However, the philosophical materialism of Marx & Co. pretty much makes this inevitable. (The secular view is also materialism, so you get it on both sides.)