So if the initial air drop went to a NEO wallet using a ledger hardware wallet, then your new ONT wallet would have the same private keys as the NEO wallet you were using on the ledger. This however poses the problem of getting your private keys from the ledger to get the ONT.
Also since ONT will only be able to move as whole tokens, you won't be able to do anything with the fractional tokens you get airdropped.
Seems a little problematic, hopefully they have solutions.
RE: Ontology Announces 2nd Airdop for NEO Holders