The focus is wrong because the larger society's focus is not on UFOs. You can't make people care about something that they generally ignore. Serious people will not look at the question for the reasons that Paul listed.
The other, larger problem is that the subject and its reported characteristics are not amenable to examination by the traditional tools of science and rules of proof which we currently use. Until those evolve, nothing about the popularity of the subject and some of the dorks that it attracts will change either. If that does happen, no one will care about UFO researchers anymore.
I respectfully disagree on both counts. Polls show a very high interest in UFOs by the general public. I think a Gallup Poll was done a few years ago that revealed that nearly 80% of those interviewed believe that UFO are real. Serious people do study them, you just aren't familiar with the work.
As for your comment about science, there is plenty of good science that is and can be done on this topic. The foundations of which might be found in looking at Hessdalen, Norway and the evolution of inquiry that began as eyewitness reports of UAP and led to instrumented studies and even more inquiries... Review the papers at http://www.hessdalen.org and then go to http://www.itacomm.net for more research....Check out CIPH, Google Massimo Teodorani and Renzo Cabassi for more examples of science applied effectively to UAP research. And don't forget to get current with the work by the official UAP research teams of the world like CEFAA and GEIPAN-CNES... Science has all the tools necessary to resolve this matter. Its a matter of building from foundation to advanced research. Right now we are closer to the foundational work...
I think the big problem in UFOlogy today is its ignorance about current research and its insistence on clinging to mantras like "Science doesn't care" rather than actually finding out what is being done....