If it is from Asimov, it sounds very close to "The Winds of Change".
The setting is in some kind of university, there are three men in a room waiting for a message to arrive;
The protagonist starts by telling how everybody in there assumes that one of the other two men will be chosen to a high position in the university, the other man (his protegé) will also be favored by this change and the man who is doing the talking, who is hated by the other two, will be quickly fired.
Then he comments about their past history, about how, despite how the other two men have put forward very knowledgeable theories about time travel, they are both unable to use them. He tells that if the were able to travel through time he would have researched both of the other men to find their failures. In fact he mentions a couple of scientific mistakes by the other two men but qualifies them as too minor as to have any effect; if he were to denounce them for that it would look worse on himself (as a delator) than in the other two men.
He continues on telling about how the scientists think themselves above society, and how these men did ignore the rules of society and commited crimes. That it was ok when society was anarchic and had no rules, but he did change the society so that it now has rules and strict leaders. That he did lots of trials in that direction, not only to change the society but to ensure that the two men "crimes" were kept hidden.
He then relates how he has proof that both men did sign political manifestos in favor of freedom of speech and religion when were younger, and now he has denounced them to the authorities for those "crimes". The messenger arrives, arrests both men with charges that include witchcraft, takes the crosses the men were wearing on their suits, and confirms that the promotion will go to the narrator.
The story ends with the man considering asking for leniency for the captured men. But he reminds himself that he should only do that if it that is safe, and that under the rule of the Moral Majority nobody is completely safe.