The phrase "different orientations" refers to having various beliefs, perspectives, or preferences towards something. It means that people can have different ways of thinking or approaching a subject. Full definition
A religion is not a religion when it promotes discrimination, hate against another religion and people of different orientation. (religion.blogs.cnn.com)
In the south, we have had a completely different orientation. (religion-online.org)
It reveals an entirely different orientation (which I will not reveal even here in the room), and, to be fair, there is a full explanation. (rogerebert.com)