Munde, whose party is a key ally in the Shiv Sena-led Maha Vikas Aghadi government, has made the demand in a letter written to Thackeray on Monday.
Ajit Pawar's "revolt" virtually sabotaged the efforts of the Sena, NCP and Congress to prop up a government of disparate allies.
NCP's legislature party head Ajit Pawar, its Maharashtra chief Jayant Patil, party veteran Chhagan Bhujbal, Mumbai unit president Nawab Malik and Dhananjay Munde will be part of the committee.
With saffron allies BJP and Shiv Sena bickering over chief minister's post after winning majority in the Assembly polls, the new government is yet to be formed in Maharashtra.
NCP's Dhananjay Munde kicked up a row by allegedly making obscene comments against Pankaja at a campaign rally, resulting in an FIR against him.
The NCP leader, however, said the clip has been edited and is fake, and his remarks have been 'distorted'.
Attending her fifth rally at Parli town in Beed district on the last day of campaigning, the BJP leader collapsed while speaking.
Dhananjay Munde also appealed to the authorities that network towers of all the telecom companies in the vicinity should be shut off during that period.
With party chief Sharad Pawar, Nawab Malik, Jitendra Awhad, Dhananjay Munde Mehboob Shaikh and Rupali Chakankar are also named among the star campaigners.