The Pro Santa Cruz Committee, which held huge anti-Morales rallies between October's disputed election and his resignation on November 10, also called on authorities to seize the 60-year-old former trade union leader's assets.
Some politicians have argued that the constitution bars legislative candidates who have not been resident in the country for at least two years prior to an election.
Morales fled to Mexico the day of his resignation. This followed three weeks of at times violent protests against his re-election to a fourth successive term in a poll the Organization of American States said was rigged.
Now living in Argentina, where he accepted political asylum, Morales has vowed to return to Bolivia to run MAS's election campaign.
But he faces arrest if he does after the interim government accused him of sedition and terrorism over a telephone recording in which he allegedly urges his supporters to lay siege to major cities such as La Paz.
In the latest opinion polls, the MAS presidential candidate Arce was leading with 31.6 percent ahead of centrist former president Carlos Mesa (17.1) and conservative interim President Jeanine Anez (16.5).
In fourth place was right-wing candidate Luis Fernando Camacho, a major figure in the Pro Santa Cruz Committee, who on Tuesday called on his fellow centrist and right-wing rivals to join forces behind a single candidate in a bid to defeat Arce in May.