How does he square that with his public display of Orthodoxy?
The same way the majority of Russians do...which is to live in the tension of conflicting values in the name of political expediency or keeping the “peace.” Or in the name of preserving national pride. (Hence the willingness of many Russian Christians to celebrate the Soviet Union and even Stalin despite the enormous religious repressions which marked the 20th Century.)
Though, as the article points out - the Orthodox Church has put abortion (banning it at all stages of pregnancy) at the forefront of their social agenda. Not just for spiritual or moral reasons though: but to reverse the demographic decline.
At the moment, there is no Christian-values minded opposition to Putin in the Russian political scene.
And the Russian Orthodox Church relies on the State for much of its legitimacy and support. I don’t foresee them putting Putin to task anytime soon. It doesn’t help that a lot of the church’s leaders are too, former KGB...