The court also refused to suspend the conviction in the case until the appeals were decided.
Police said PML-N leaders and workers have been booked for taking the rally in violation of law.
The two were convicted on July 6 in the Avenfield properties case linked to the Sharif family's ownership of four luxury flats in London.
Pakistan's memorial will be in response to pleadings filed by India in the Hague-based ICJ on April 17.
The court delivered the verdict after postponing it for four times in the Avenfield corruption case -- pertaining to the ownership of four flats in the posh Avenfield House in London.
The placement on to grey list could hurt Pakistan's economy as well as its international standing.
Currently placed on the FATF'S 'grey list', Pakistan has been scrambling in recent months to avoid being added to a list of countries deemed non-compliant with anti-money laundering and terrorist financing regulations by the FATF.
The JuD will contest the election on the platform of a little known "dormant" political entity, Allaha-u-Akbar Tehreek.
The decision was taken after the ECP again dismissed the MML's application for registration on Wednesday.
The interior ministry had opposed enlisting of the MML as a political party, arguing that it is an offshoot of the banned JuD.
The JuD, a front for the Lashkar-e-Tayiba militant group that carried out the deadly 2008 Mumbai attack, launched its political front Milli Muslim League, but it has not been yet registered with the Election Commission of Pakistan. With general elections approaching, the group decided to contest on the platform of a "dormant" political entity, Allaha-u-Akbar Tehreek, which is registered with the ECP.
Mulk, 67, is likely to be sworn in on Friday, June 1.
Another suspect has been taken into custody for shooting at Pakistan's Interior Minister Ahsan Iqbal.
Pakistan's Foreign Minister Khawaja Asif now unable to hold public or party office after the verdict.
"Repeating a lie doesn't turn it into the truth," the spokesperson was quoted as saying by Dawn.
A five-member bench, headed by Chief Justice of Pakistan Justice Saqib Nisar, gave the unanimous verdict on several identical petitions pertaining to the duration of disqualification of a politician under Article 62(1)(f) of the Pakistan Constitution, reported Samaa TV.
The powerful military establishment, which enjoys considerable influence over policy decisions in Pakistan, was also on board to ban JuD and other terror groups.
The list -- which has 139 entries from Pakistan -- identifies all those individuals who have lived in Pakistan, operated from there or have been associated with groups that used Pakistani territory for carrying out their operations.
Malala was dressed in Pakistani salwar kameez and dupatta. She was smiling and looked happy as he was greeted at the airport.
Around 14 policemen are among 25 injured. The condition of four policemen is stated to be critical.
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