ISLAMABAD , Pakistan ( CNN ) -- A Taliban spokesman issued a series of threats and ultimatums against Pakistani officials Wednesday as the country 's military continued its offensive against the militant group in the Swat Valley . Taliban spokesman Muslim Khan has courted local and international media in jovial telephone conversations . Speaking on the telephone with CNN , Muslim Khan announced that all national and provincial parliament members from the Malakand Division , the northwestern region where the Swat Valley is located , must resign within three days . `` Otherwise , we will arrest all their families , '' Khan threatened , `` and we will destroy all their buildings . '' The Taliban spokesman issued a separate directive aimed at prompting a public show of support for the militants from Pakistan 's Islamist political parties . `` All these parties must help the Taliban , '' Khan said . `` They must give a press conference to show the people that we need sharia [ Islamic law ] in the Malakand Division . '' Members of the Islamist party Jamaat-i-Islami have spoken out against the military 's offensive in the Swat Valley , but they have stopped short of announcing support for the Taliban . Watch more about the victims of the war » . Throughout the fighting over the past three weeks , the gray-bearded Khan has been the public face of the Taliban , enthusiastically courting local and international media in jovial telephone conversations . In an earlier phone interview with CNN , he described how he had spent four years living in the United States , working as a painter in the Boston , Massachusetts , area . On Wednesday , Khan denied reports from many refugees emerging from the Swat Valley that Taliban militants had carried out a campaign of violence and intimidation in the region for the past two years . Several terrified Swat residents , speaking on condition of anonymity for fear of reprisal from the Taliban , described how insurgents kidnapped and killed their critics , beheaded government informers and blew up girls ' schools . Khan denied the accusations . `` We are killing the people which are only no good for society , like thieves and people who are making problem for the poor people , like people who are working for army , '' he said . `` We are only killing these people . '' On Tuesday , the Pakistani army announced that it had dropped special forces soldiers by helicopter into the Peochar area of Swat , which is thought to be the headquarters for the region 's Taliban 's leader , Maulana Fazliullah . Local media report that the Taliban have training camps in Peochar . Khan confirmed that Pakistani troops had attacked Peochar , which he described as a `` place for mujaheddin , '' or holy warriors . The Taliban spokesman said militants and soldiers have been fighting in the mountains around Peochar since Tuesday , and that the clashes continue . He said two Taliban fighters had been killed so far in the battle , along with five Pakistani troops . Meanwhile Wednesday , Taliban militants attacked NATO supply terminals , torching at least 10 supply trucks in northern Pakistan , local officials said . About 70 Taliban fighters attacked the facility in Peshawar , police said . A gunfight ensued between the insurgents and police . No casualties were reported . Peshawar is the capital of the North West Frontier Province , which intelligence officials say is rife with Islamic extremists and has been the site of recent clashes between Pakistani security forces and militants . Because Afghanistan is landlocked , many supplies for NATO-led troops fighting Islamic militants there must be trucked in from Pakistan . Convoys carrying food and military supplies have regularly come under attack in the area . Journalist Janullah Hashimzada contributed to this report .
Taliban spokesman threaten Pakistan 's ruling political class . Muslim Khan says leaders from Swat Valley must resign within three days . Meanwhile artillery and helicopters pound Taliban targets in Swat Valley . Score: 6