The "clamoring" to bring back the fairness doctrine is coming from the talk radio announcers like Rush Limbaugh, Sean Hannity, Glen Beck, etc. No one in Congress would seriously consider doing that. It would be a waste of time and effort at any rate.
The talk radio announcers need an issue to whip up their followers, and to have a cause. What better way than to feign being threatened by a Congress that wants to impose an old rule that was originally instituted by Republicans. Oh, you'll hear lots of screeching and bellowing about it over the next days and weeks. It helps the ratings and rakes in the bucks. But it isn't going to happen.
The problem is that the radio broadcasting industry, and talk radio with it, is a dinosaur. It's market shares basically boil down to how many people happen to be in their car listening to the radio at any given time, and even at that, satellite radio and music stations hold the lion's share of the ratings market. Even at that, radio markets are tiny compared to television, and they have to compete with the MP3, discs and other means by which the listener controls the content of what is played in the car.
Most conservative talk radio announcers are mouthpieces for the corporate interests who own the radio stations and other businesses, and they advocate for politicians who will help get laws and policies passed to benefit the giant corporations at the expense of the consumer, mainly you and I. They can't do this directly, of course, but they have found that appealing to certain "moral issues" gains them an audience share. The first two or three individuals who got into conservative talk made millions. Now, the field is getting a bit crowded, and the advertising revenues and big money is slowly sliding away. As the radio dial becomes more and more outdated, the number of listeners drops off and the revenue follows.
It would be silly to go to all the trouble of instituting a fairness doctrine in radio broadcasting. Just let the natural course of things, shrinking audiences and advertising revenue, take their natural course.