The MFP weren't part of the ruling coalition, so wouldn't have had a say in who was chosen. They would have taken part in the subsequent vote though, and no doubt will under their new name, but still have fewer seats than the combined coalition parties.
I wonder what would have happened though if all their MPs had moved to one of the coalition parties when MFP was disbanded, making it the largest single party in the coalition, and forced their pick for PM on it? They could have all jumped ship to the new PP at the next elections. That would have stirred the pot.