Thousands of long-term unemployed Nevadans will lose jobless benefits after the holidays as a federal emergency stop-gap program is set to expire, state officials said Wednesday.The Department of Employment, Training and Rehabilitation said 25,000 Nevadans currently receiving extended unemployment will be cut off Jan. 2 and an additional 1,000 claimants will be dropped each week afterward unless Congress votes to continue the program — an uncertain prospect as Congress confronts the looming “fiscal cliff,” a combination of tax hikes and spending cuts set to take effect Jan. 1.In a statement, Senate Majority Leader Harry Reid, D-Nev., said he supports extending …