The visit is Khan's first to Kabul since becoming prime minister in August 2018.
Rahmatullah Andar, a spokesman for the National Security Council (NSC) and a former Taliban commander, is a prime example.
The continuation of violence, especially against educational institutions, is unacceptable and contrary to Islam, scholars say.
'We want a system where all Afghans can participate,' says one religious scholar.
A car bomb Sunday exploded near a police headquarters in Ghor Province, leaving at least 16 people dead and 154 wounded, including women and children. Locals blamed the Taliban.
'Too many Afghans are dying,' said US Special Representative for Afghanistan Reconciliation Zalmay Khalilzad.
Maintaining the security forces is a 'red line' for the peace talks, one demonstrator said. 'We don't want to go backward and won't allow our security forces to be dissolved.'
'There are economic reasons that would be transformative for the region should peace in Afghanistan come,' said the US Special Representative for Afghanistan Reconciliation.
Amid an uptick in violence in Afghanistan, President Ashraf Ghani remained hopeful for peace. 'We cannot end 20 years of war in 20 days,' he said.
A resolution over which interpretation of Islam will be used to frame laws means one less obstacle for negotiators.