Plus, all of the big things MMT advocates say we could do as a result of implementing MMT are things that have already been done in developed economies before.
You've got this wrong. MMT is a descriptive theory and the fact that the things it says are possible have been before is evidence of its accuracy.
What real world economic activity or events does MMT explain better than more traditional theory?
The business cycle, the behavior of banks and central banks, the causes of inflation. Neoclassical macro is wrong about almost everything, so "explain better than more traditional theory" is not a high bar to clear.
Is it predictive? Are there any real world examples of its predictive value?
MMT as such isn't exactly predictive. It's more like applying discipline to economic analysis using analysis of real-world financial operations and accounting rigor. This is kind of like asking whether a physics concept like conservation of energy is predictive. It "predicts" that the sectoral accounting identity will hold, but it doesn't really make any definitive claims about what causes the numbers in the equation to change. That is a complex question and MMT'ers have different positions on it. But you need to have things balance out so that, for the economy as a whole, spending=income, assets=liabilities and so forth. Just as when doing physics, you can discipline your analysis and your predictions with conservation of energy, you can do the same with MMT principles in macroeconomic analysis and prediction.
I will say that the post-Keynesian framework (of which MMT is an outgrowth) is predictively far superior to the mainstream in that it at least understood a crisis like the 2008 one was possible, whereas mainstream neoclassical macro had literally denied the possibility. Some individual economists in the MMT tradition did predict the crisis but it wouldn't be accurate to say that adherence to MMT led people to foresee it.
One example of the predictive ability of MMT over neoclassical theory is the prediction of Wynne Godley, who came up with the "sectoral balances" approach that comprises such an important part of MMT,
all the way back in 1992, that the Euro countries would run into trouble because the countries adopting it were effectively ceding such an important part of their sovereignty. Another example is when MMT economists (I believe Randall Wray was one of them [edit: indeed,
Godley and Wray 2000]) disagreed with CBO predictions in the late '90s of "surpluses forever", using a balance sheet analysis they argued it would be impossible for the government to drain financial wealth from the private sector indefinitely and they were quickly proved right when the government's budget shot into deficit early in the Bush years, because of the recession. The CBO was wrong because it failed to consider the implication of the government's surplus on the other sectors of the economy. That kind of mistake is endemic in neoclassical macro.
In the original thread I quoted you from, you did a fly-by claiming that the government hadn't borrowed. It's needless muddying. This isn't German, where "actuallythegovernmentremovesdollarsfromcirculationbybribingpeoplewithdollars" is just a word we can make. And especially just use it in a flyby, without actually talking about what the person is talking about.
I don't agree at all. Getting people to understand it isn't really borrowing is important.
MMT thinks that governments sell bonds to remove rich people's dollars from current spending.
No. Professional economists and others who "believe in" MMT have a variety of opinions on what government bonds actually do. Some people see it as basic income for rich people, others see it as the necessary and desirable base of the pyramid of a healthy financial system.
But the answer to "the government borrows too much and spends too much repaying" isn't "the government doesn't borrow".
It kind of is though? And this is an enormous simplification and flattening of the debate. There might be perfectly legitimate reasons, within an MMT framework, to reduce spending and bond issuance. In fact MMT'ers are at pains to identify just such a reason: the economy is at full capacity and further spending increases will be inflationary without adding real production. The proper answer to people saying "government is borrowing too much" is "why do you think so?"