As usual there is plenty of hype here. One factor that no one has so far mentioned is that for quite a while Doncaster did not have its own radar. It does now.
I think you will now find that there is a much better known environment than there was for the first 3 or 4 months of DSA's operational existence, and in the immediate local area there should be no more problems than BHX or STN get with light aircraft not being navigated correctly.
Sandtoft and Gamston are well aware of DSA, and are acting responsibly, and the few farm strips in the area are no problem.
I believe it would be best not to over-react, but see how things go now the radar is working.
I fully agree with the comments about Class G airspace - it is a safe environment thesedays - TCAS and generally available radar has made a huge difference. Of course if the Air Force don'e have serviceable transponders, that doesn't help!