Of course, this isn't the case for everyone. Some people don't have too hard of a time dealing with contradictions. This is where "aintegration", our ability to cope with incongruence and doubt, comes in.
There is no "what's your integration score" test out on BuzzFeed yet, but in the meantime you can check out the example questions from the study in the BPS Research Digest article to see where you might fall. Or just play the odds: those with higher aintegration ability tended to be older, divorced, non-religious, educated, and/or tended to have had more positive experiences in life and saw negative life events as not all bad.
Source: BPS Research Digest