Alabama Attorney General Charles Graddick, who said he feared that his narrow victory Tuesday over Lt. Gov. Bill Baxley in the runoff for the Democratic gubernatorial nomination might be "stolen overnight," ordered all ballots, voting machines and poll lists impounded in 36 of the state's 67 counties.

Baxley refused to concede until completion of the official vote canvass, which might take several days, but pledged to support Graddick and the rest of the ticket if the count holds up. With all but 36 of 4,230 precincts reporting, Graddick had 460,451 votes, 51 percent, to 451,284 for Baxley in one of the closest races in Alabama history.

Jim Folsom Jr., son of former governor James E. (Big Jim) Folsom, defeated state Sen. John Teague for the Democratic nomination for lieutenant governor. George C. Wallace Jr., son of retiring Gov. George C. Wallace, edged Jim (Watchdog) Ziegler for the nomination for state treasurer. Former circuit judge Claude Harris beat District Attorney Billy Hill of Montevallo in the Democratic runoff for the House seat of Rep. Richard C. Shelby, who is running for the Senate.

In South Carolina, former representative Mendel Davis, a 10-year veteran who retired in 1980 and was attempting a comeback, lost the runoff for the Democratic nomination for his old district to James Stuckey, a Charleston County councilman. Babbitt's Fence-Mending Back in 1983, Arizona Gov. Bruce Babbitt, a Democratic presidential aspirant today, got a major black eye with organized labor by calling out the National Guard to assist the Phelps Dodge Co. in the bitter copper strike that ended with union members being permanently replaced.

But with his sights on 1988, Babbitt has tried to mend fences by helping to mediate a settlement between 14 unions and Newmont Mining Corp., parent firm of two major Arizona mines.

Babbitt went to Pittsburgh recently to meet with Lynn Williams, president of the United Steelworkers of America, and Babbitt's office announced the tentative Newmont agreement before the union did.

After company and union negotiators reached a stalement Sunday, "Babbitt called the union, and he called the company, and he came down to Tucson and shuttled between the two sides, helping write contract language that brought about a settlement," a union source said.

"Babbitt's doing our PR for us now," said a Steelworkers spokesman. "He is seeking to repair some bridges that he blew up himself a couple years ago."

Babbitt's mediation services may be in further demand because Kennecott Copper and two other Arizona firms still must settle with the unions. Polls: The latest poll on the Georgia Democratic Senate primary shows Rep. Wyche Fowler Jr. and Hamilton Jordan, White House chief of staff in the Carter administration, about even but with a large number of voters undecided. The poll, by station WAGA-TV of Atlanta, shows Fowler with 25 percent, Jordan with 24 percent and state Rep. John D. Russell, the nephew of the late senator Richard B. Russell, with 5 percent. There were 44 percent undecided with minor candidates accounting for the rest.

Fowler, whose House district includes most of Atlanta, led Jordan in the city by 48 percent to 19 percent with 28 percent undecided, but Jordan leads in the rest of the state, 29 percent to 18 percent with 45 percent undecided.I -- James R. Dickenson