I know its big but Let us first take the Congress president's "mockery of the Constitution" comment. If he looks into history, he will find some outrageous instances of mockery of the Constitution by his own party.
Way back in 1957, the Communist Party of India won the Assembly elections in Kerala and EMS Namboodripad became the chief minister. However, the first communist elected government could last only for two years. Jawaharlal Nehru, the then prime minister, using the ruse of 'breakdown of constitutional machinery' in the state, threw the Namboodripad government out, imposed President's rule in the state for a while and then dissolved the state Assembly.
During Indira Gandhi's reign at the Centre in 1982, Haryana Governor GD Tapase set a new low in terms of constitutional impropriety. He prevented Devi Lal (supported by the BJP) from being sworn in and foisted Bhajan Lal of the Congress as the chief minister. Bhajan Lal was sworn in without following any protocol, an act by the Governor which angered Devi Lal so much that he couldn't restrain himself from manhandling Tapase.
On several instances, Indira Gandhi disregarded constitutional propriety while removing chief ministers of states ruled by Opposition parties. She had also misused Article 356 of the Constitution for the imposition of President's rule and engineered defections both at the Centre and the states.
Governors like Ramlal during Indira's reign make for a case study on how constitutional norms could be thrown to the winds to satisfy personal whims of the political boss at the Centre. In August 1984, Ramlal summarily dismissed the first non-Congress government in Andhra Pradesh led by NT Rama Rao, even though the latter had an absolute majority in the Assembly. Although Nadendla Bhaskara Rao was sworn in as the chief minister, a resilient NTR forced Indira to reverse her decision and allow the reinstatement of the Telugu Desam Party leader at the helm.
The imposition of the Emergency, of course, was the darkest hour of Indian democracy.
Romesh Bhandari, the governor of Uttar Pradesh in the late 1990s, also did not care for constitutional propriety. He dismissed Kalyan Singh's government at night and immediately administered the oath of the chief minister's office to Jagdambika Pal (a man who led a hopeless minority). The high court severely indicted Bhandari and for the first time, a composite floor test took place in the Assembly on the orders of the court. Kalyan Singh won that composite floor test and became the chief minister again. Pal was the chief minister for only a day and his name does not figure in the list of chief ministers in Uttar Pradesh, as per directions of the court.
Similar examples existed during the Manmohan Singh-led government, which was effectively controlled by Sonia Gandhi. Governors like Syed Sibte Razi in Jharkhand and Buta Singh in Bihar contravened all constitutional, ethical and moral norms to prevent the BJP, or a coalition of which BJP was a part, to come to power. In both the cases, the Supreme Court severely indicted the governor's role. In Bihar, the Manmohan Singh government also came in for severe embarrassment after the Union Cabinet recommended the dissolution of the Assembly. (The then President APJ Abdul Kalam was made to sign the notification and fax it from Moscow)
As for Rahul's "Pakistan" analogy, it would suffice to say that post-midnight hearings have happened twice in recent times. The first one was to prevent the hanging of Yakub Memon on 30 July, 2015. At that time, a three-judge bench had heard the matter at 3 in the morning. The second one was on 17 May, 2018, when a three-judge bench heard a petition seeking to prevent the BJP's BS Yeddyurappa from being sworn in as chief minister of Karnataka.
The Congress president should realise that this does not happen in Pakistan.