[Greek/US dual citizen here]
Having lived in Greece for upwards of a decade, during the particularly transitional time from ~1988-2004, this is not in line with my experience. Hear me out before writing me off as an apologist :)
Greece has a large problem with collecting the taxes they claim citizens owe but not a large problem with collecting a large fraction of GDP. According to the World Bank, they are right in line with Sweden and France (http://data.worldbank.org/indicator/GC.TAX.TOTL.GD.ZS). These numbers are corroborated by the OECD (PDF warning http://www.oecd.org/newsroom/41498733.pdf). [Edit: I wrote Sweden and France when I meant to write Spain and France; I apologize for the error but I have left it lest someone think I am trying to whitewash :-)]
Greece has collected plenty of money; we overspent, and we spent stupidly i.e. in ways that obtained either votes or kickbacks, and not in ways that improved the economy or the life of the common person. As just one example, look at the paltry investment of the Greek government in its only competitive advantage, the tourism business. The cast and crew of "Mamma Mia" did a better job promoting tourism in Greece than any Ministry of Tourism effort. Spain, Italy, and Turkey are eating our lunch.
We also got used to almost five decades of "free" foreign money through the Marshall plan, post-communist hysteria leading to US military aid and military bases, EEC/EU growth funds, and having our debt priced as if it were of German quality.
In my opinion, the tax evasion is a serious social justice problem, but it is not a serious budgetary problem. The bulk of Greece's public budget is supplied by ordinary people making ordinary incomes, and it is a travesty that the wealthiest manage to dodge contributing proportionately. But that does not mean the government does not have enough money to do a good job.
I would love to believe that the government has failed due to being starved of resources; at least then a solution like taking on more debt would be plausible. With the situation as it stands, I can only respond with our poet laureate Seferis' exasperated lament, "Everywhere I go, Greece wounds me".
Part of my problem with the statistics you link is that the measure is limited because it's known that US revenues are in the 16-19% range but they are listed here at 9%. Loathe as I am to cite the Heritage Foundation they are the most complete figures on wikipedia and show Greece heavily lagging France and Spain.
http://en.wikipedia.org/wiki/List_of_countries_by_tax_revenu...
Next, the black market in Greece is estimated at 25% of GDP which inflates official collection percentages even more.
http://en.wikipedia.org/wiki/Tax_evasion_and_corruption_in_G...
Finally, it really doesn't matter that they collect some nebulous "large share of gdp". What matters is that the scale of evasion is far greater than Greece's immediate problems.
But Nikos Lekkas, the head of the Greek tax inspectorate, the SDOE ... insisted that Greece could easily pay off its debts if taxes due for payment were paid into the Greek state's coffers.
”Tax evasion in Greece has reached 12 to 15 per cent of the gross national product... That is €40 to €45bn per year. If we could recover even half of that, Greece would have solved the problem.
http://www.telegraph.co.uk/finance/financialcrisis/9319799/G...
You raise an interesting question, to which I don't have a conclusive immediate response. I'll have to dig deeper to really know. The numbers on the US do seem out of line with well-known facts. However, here's another ~30% estimate from Eurostat (http://epp.eurostat.ec.europa.eu/statistics_explained/index....). Given the conflicting reports, I can only say that it's theoretically possible that Heritage is right and OECD/Worldbank/Eurostat are jointly wrong. If I had to weigh Heritage's ideology and their likely expertise on European economic statistics, as compared to lined-up answers from OECD/WorldBank/Eurostat I know where I'd bet. Still, the 9% reported for the US does seem troubling. I have a research project for the evening.
As for the scale of tax evasion and whether it could plug the hole: it's really, really hard to have an objective opinion here. My inner Greek is saying of course SDOE claims that tax evasion is the main problem. I can't prove that they're wrong, and I don't want to pollute the discussion with personal anecdotes. I'll only add that the SDOE claims don't link to any examinable research.
Thank you for an interesting counterpoint :)
[Edit: the Eurostat data shows Greece parallel to Spain but way behind France... so at this point I'm going to tentatively retract the comparison to France pending further research, but I think I am still persuaded that Greece has a tax base that commands a significant-enough fraction of GDP for them to manage responsibly]
This is not to say that there wasn't gross economic mismanagement on the part of the Greek government, but focusing on that distracts from the real solution.
UPDATE: I'm in complete agreement with everyone pointing out that the problems aren't identical. Perhaps the question is whether, if you were to summarize the causes Euro crisis in broad terms, you ought to mention Greece's economic mismanagement first or the overall crash of the financial markets as the more important factor. My assertion is the latter, mostly echoing Stglitz's analysis here:
Spain is closer to Ireland in terms of housing market effects on economic downturn, but ultimately each economy functions on a different system, so it's not entirely wrong to attribute economic problems to separate causes. There is some overlap, of course, but it's definitely not identical.
Just to be clear, my answer is: Each country's problems are rooted in the collapse of the US housing market and the resulting financial crunch. The country-to-country variations are there and they're significant, but secondary.