Greece, as best I understand it, is screwed up because the government paid for it without actually having the revenue to pay for it. That makes them far more like the modern borrow-and-spend Republicans than the tax-and-spend progressives. When, over a five-year period, a country's tax revenue increases by 31% and government spending increases by 87%, you're going to have a serious increase in your national debt. The United states solves this by devaluing its currency. Unfortunately, the Greeks are part of the Eurozone, and thus are limited in how much currency they can print each year, which means they can't just print more money to avoid becoming crippled by their national debt.
Of course, to make matters worse, their national debt is so huge relative to their GDP that it probably wouldn't help even if they could print money. Even in relatively good times, Greece was borrowing over 8% of their GDP every year. That's simply unsustainable. As a result, while U.S. states have debts that are on the order of a third to half their GDP, Greece has debt that is on the order of double their GDP. Imagine if the state of California took on a third of the national debt by itself, and you're in the ballpark. Nobody in the U.S. government—even the most socialist progressives who advocate a base income—are crazy enough to borrow that kind of money, I don't think.
But a bigger problem is not the amount of spending, but rather the types of spending that the Greek government has done. Instead of building infrastructure that would actually benefit them financially (e.g. factories), they spent frivolously on things like a giant sports venue for the 2004 Olympics that didn't cover its costs and that they couldn't afford to actually maintain afterwards. Their social security system is or was broken, with such fascinating flaws as paying out pensions to single female children of dead retirees. The state airline was a giant money pit for many years. And their military spending at the start of the crisis bordered on insanity (sound Republican enough for you?) at something like 7% of their GDP—proportionally more than the U.S. spent while fighting two wars.
No, the Greek government is a prime example of what happens when Reagan-Republican-style borrow-and-spend budgets get out of control and are not tempered by true fiscal conservatives insisting on balanced budgets and rainy day funds and so on. It is the polar opposite of progressive ways of handling budgeting (which, if they got out of control, would result in a tax rate that's so high that the people themselves would demand cuts in spending).