These words are disturbing, because on the face of it ‘Obey them’ seems completely at odds with Christ's teaching and Paul's teaching and Peter's teaching that they are not to lord it over the people, or to have that kind of executive authority. ‘Obey them that have the rule over you, and submit yourselves’: now that sounds even worse.
Don't be involved in blind obedience, too many people are. In the cults, or in many of the charismatic churches, where the extremist preachers say crazy things, the people seem to think they have got to believe everything and they have got to test nothing. But on the other hand, don't behave like the opposition in Parliament: be persuadable, be amenable. That is what it means when it says ‘obey’. Don't show reluctance to the word of God. If the preacher quite plainly is off course and gets it wrong then purse your lips and take it up with him. But on the other hand, if he is expounding the word of God, and if he is proving it, be prevailed upon.
Is the word of God addressing your sin or your failure? Well then say to yourself, God commands me to be prevailed upon on this matter. I must listen, even though it hurts. Be persuaded by faithful expositions, be open to conviction as well as to encouragements. Submit yourselves in so far as they preach the word of God; yield to what they say and be obedient because it is Christ's word, not of the preacher’s.