They said just yesterday that they want to take the same stimulus approach as the US, and Bernanke has said since forever (until taper talk started) that the goal was to devalue the USD and boost confidence in equities, bonds, etc...
It's not that they want to devalue the Euro, necessarily, it's that they don't want it to not be worth too much more than the USD. If the Euro gets too high, then trade with the US will suffer because US merchants will not want to pay more. The EU is much more reliant on the US than the US is on the EU, so they would be hurt while the US would find other partners with less valuable currencies.
Sure, except thats not the real reason for QE.
Think about it, what does Ben Bernanke look at when he talks about tapering? What factor caused him to give another talk to calm people down? The increase of exports? No, the US Economy, and the markets. Exports might contribute to this, but it is really a fraction of the actual goal. By buying bonds, this increases confidence in the US Government, and gets people to invest more, and lets investors wanting out to get, well, out. This in turn pumps more money into the economy causing inflation, while also pumping up the market because the majority of people holding these bonds are banks & individuals investing in the market, who, by wanting out of bonds, naturally want in on stocks (or potentially commodities, though we haven't seen that as much).
By pumping up the stock market, the goal is to make people 'feel richer' and want to spend more. By increasing inflation, the goal is to force people to spend more, because if they don't, their money will be devalued. The result? Hopefully to get people to spend more, boost the economy, and thus collect more taxes. Inflation is thus one of the main goals of the program, and the stock market being boosted I'd argue is another form of inflation.
Thus one country setting up 'tax havens' to try to devalue another's currency is a bullshit. Due to exports, and the reasons stated above, governments want their currency to be declining in value faster than anyone else. That way, their stock market is perceived to always be hitting new highs, people are always perceived to be getting more money, and people are forced to spend or else lose their value. The trick, from there point of view, is to get the maximum amount of inflation possible, without people in the country accepting some currency out of their control.