eventually they're just going to say "fuck it, I have to survive somehow"
....and start just taking all those pretty coins that robotics have allowed you to save... This is just a basic fact of life, you can't make people poor and expect them to just sit there and take it.
There's nothing about increasing efficiency and cutting humans out as factors of påroduction that inherently means people will be plunged into poverty. Businesses need customers to operate. Imagine the day in not too distant future where close to 100 % of all menial jobs such as warehousing are automated. This will bring immense savings and increased efficiency for large companies like Amazon, but if all the millions of people made unemployed by these innovations have no source of income allowing them to buy items from Amazon, then they may very well end up losing money.
The structure of the consumer economy is such that companies compete for the money that consumers have. They really don't care where that money originates from: salary, dividends, social security, doesn't matter. If you have disposable income companies are going to try to get you to give some of it to them. Currently the majority of people gain their money as income from a job, so work is the mechanism by which money is moved from the top (=the wealthiest) to the bottom, so these people can then move it back into the top by buying goods and services. What's going to happen as automation takes more and more jobs away from people if the ownership class doesn't want consumer demand to come crashing down and start hurting their bottom lines is that as the labor costs will come down, tax-costs will increase as systems like basic income are developed and implemented. Right now many see this as an impossible because it seems like this would require hardcore capitalists embracing some socialist principles. But what people fail to see is that these income redistribution principles can (and will) be embraced for entirely selfish, profit-motivated reasons. Unless the loss of income caused by automation is offset with new sources of income the consumer economy will collapse, which in turn will drag the whole economy down.
That is, the wealthy class will eventually have to look at the situation and think which is easier: letting the masses dwell in poverty and watch their profits go down as people resort to crime for their survival as you put it, or start giving them income that will not only help them survive but keep competition and demand alive.
There's a lot more profit to be made in the latter scenario.