We should be thinking strategically about this.
We should say to the EU - yes, we will step up and do our share and more. However, for this to happen we will need certain things to go our way. For instance, how about a relaxation of current deficit rules to borrow more for infrastructural needs (money is extremely cheap for us on the open market at the moment). Imagine the boost for our society with a planned rollout of social housing construction, taking care not only of extra refugees but our own homeless problem?
How about asking for a further extension on interest payments to the Troika, or better yet, an agreement with them, that in return for us taking up the cudgels in terms of housing refugees, any interest payment due to the institutions for a set period of years be diverted into capital spending with an emphasis on social needs, but those payments still count against the debt. This crisis has the potential to be far more expensive for European countries in societal terms than the financial crisis - we need to be pushing the idea of a new Marshall plan for refugees, a good part of which would be financed by debt forgiveness, invigorating our economies, finally making these institutions socially responsible, and finally, and most importantly, giving us the means to take care of as many of these people as we can.
The Greek root of the word "crisis" is opportunity.