First, I'd suggest that in general, the left believes in change and progress, and the right believes in stasis or regression (going back to a mythical 'golden age'). It is easier to photograph things that 'need fixing' (left) than things that are 'fine as they are' (right). Things that are 'fine as they are' tend to be taken for granted: we don't want to change them, and besides, what would they be? Old buildings? Yosemite? Children playing in a safe environment? I think the left can rejoice in such things as readily as the right.
Second, as many others have pointed out, caption and context can completely change the message of a particular picture. Again, in general, the left tends to be rather more skilled at propaganda (captions, and defining context) than the right. Why? Hard to say; but I think it's because they (we) are better at sounding reasonable than the right. Whether we are more reasonable is a legitimate subject for debate, but those who complain about 'left wing intellectuals' might reflect on the third word, 'intellectuals'. Certes, among my intellectual (and media, and teaching) friends, more hold left-wing views than right-wing. To me this suggests that left-wing views and a certain kind of intelligence may be correlated to a modest degree. Another kind of intelligence, such as that required to succeed in business, may be more correlated with right-wing views, but for either side to pretend that theirs is the only kind of intelligence that matters is, well, unintelligent.
Third, in general is a very important qualification. Even though they are greatly outnumbered by intelligent left-wingers, I know plenty of intelligent right-wingers. And of course, as others have pointed out, both reality and political views can be quite complex. 'Right wing' doesn't necessarily mean 'religious fundamentalist' or 'climate change denier'. The late Maggie Thatcher was something of a hawk on trying to prevent or mitigate human-influenced climate change, and few would call her left-wing. My father, a long-time Telegraph reader (the Torygraph is the paper of the right in the UK, just as the Grauniad is the paper of the left) still, at 84, believes that trades union have done far more good than harm.
Fourth, some views that are 'left wing' in the USA, such as socialized medicine and gun control, are taken for granted in the vast majority of the developed world: they are seen as neither 'right wing' nor 'left' wing, but as common ground. It might be interesting, though, to shoot a series on French pistol-shooting clubs, in favour of relaxing the law. Whether or not this would be seen as 'left' or 'right' in France is debatable, but I think it would count as 'right'. Then again, in France, 'liberal' means the exact opposite of what it means in the United States. It is used as a general term of abuse by the left, because they take it to mean 'economic liberal' (selfish, in favour of atomized society), whereas it is used as an insult by the right in the USA because they take it to mean 'social liberal', or suggesting (counter, again, to Maggie Thatcher's famous statement) that actually, there is such a thing as society.
So, in sum, I'm not quite sure what 'concerned right wing photography' can consist of. Zauhar pointed out the shock pictures of aborted foetuses, and that's certainly concerned right-wing photography, but it's something of a niche. I suppose that photographs glorifying war might be taken as right-wing, were it not for the number of ex-military men I know who are less than enthusiastic about military solutions when there is any other option. Likewise, photos glorifying extremely polluting new cars -- 'progress' of a sort, but at a price that ever fewer people are willing to pay -- but again, we have the Leaderene on the other side. For that matter, it is possible to argue that all advertising photography for consumer goods is right wing, but then we get into the nature of necessary and unnecessary goods.
Cheers,
R.