Low interest rates is what got Greece into trouble in the first place.
Yes, I agree completely with this.
In the early 2000s southern Europe was asking for higher interest rates. They were signalling that their economies were overheating and pointing out that more capital was flowing in than they could productively employee (ghost airports being built, etc.) But they were not catered to. There were other countries in the EU that wanted low interest rates because they had a different set of needs. Within EU rules a country like Spain could not restrict the flow of capital into their markets, this created a massive property bubble.
(You can see on the graphs, where Germany is the blue line how Italy and Spain are having significantly more GDP growth through the early/mid 2000s. In retrospect, it is seen as overheating/bubble, not true growth. This was stoked by interest rates being too low for them.)
So this is the problem with being in the EU and being in the Euro. Local economies cannot have appropriate monetary policy for their unique situations. Fiscal union would solve this, but nobody wants to actually bail each other out as Pigletjohn has pointed out. So you have a situation where weaker countries cannot have monetary policy that suits them nor will they get fiscal transfers (they get something but not nearly enough) from more successful members. I think it will all fall apart in a messy way, or there will start to be transfers. Nobody in New York likes subsidising people in Mississippi, but it happens. That is true fiscal transfer.
Given this is where I think things are headed, I cannot see future that I want to be part of. I don't fancy being in the Euro and having our monetary policy set for us. I don't fancy transferring our money through Brussels in the form of fiscal transfers. And, I don't think we will find it very comfortable being on the outside of a tighter and tighter core, or being in the EU at all if the sh*t hits the fan.