“Continuing the brooding examination of men put to the test that they began in The Killing of Two Lovers, writer-director Robert Machoian and lead actor Clayne Crawford reteam on The Integrity of Joseph Chambers, a morality tale in which the threat to the protagonist’s family this time is the direct result of his own actions. The new film doesn’t match the tightly wound narrative complexity or power of its predecessor; nor does it escape the occasional feel of actor-y self-indulgence. But the artistic rigor of the undertaking remains striking, as does the invaluable contribution of Danish sound designer Peter Albrechtsen in sculpting the disquieting atmosphere.