Is it appropriate to criticize Israel when other nations and states commit the same actions, and much worse, without any comment from the world community? At what point does self examination become almost masochistic?

Implicit in your question is your desired response.  There is a clearly is delineated an imbalance in the way Israel is perceived and treated in the community of nations.

While studying in Jerusalem, a fellow student and friend once said that Israel is treated as the Jew amongst nations of the world.  It may see itself as a democratic, modern country, but it is seen  as the Jew is seen in the eyes of the nations.

I am one who avoids commenting as a rabbi on political matters, choosing to leave this to others who excel in the field of political and social sciences.  However, it is impossible, as a rabbi, to ignore the excesses that are so obvious in the media characterizations of Israel, while seemingly ignoring the very same issues and worse that are being carried out in other nations, many of whom are allies of our own nation.

The Jewish people are charged by G-d and Torah to be a fair and just nation.  We are taught that we must use honest weights and measures and not to recognize the mighty in the face of the weak.  Therefore, it would seem unfair and inappropriate for us to contribute knowingly to the castigation of the State of Israel on the world stage.

This does not mean that one has no right to challenge or question Israel when they may feel that there is due reason for it.  But, opening wounds publicly and jumping on the bandwagon of the enemies of Israel and the Jewish people, seems to me unnecessary and to be avoided at all costs.

I, personally, do not want to be the source of criticism, but rather the source of support and caring.

It certainly appears that one may not openly express words of both support and criticism, without discovering that only the negative words are reported, while totally ignoring the positive take on the matter.

Since this is s the case and a universal in the world of the present day media, it therefore appears to me that one can only publicly express support for Israel and not join in on the public condemnation feeding frenzy that is so pervasive.

I offer this by way of guidance, but cannot say that this is an halakhic –Jewish legal pronouncement.