I don't think there is enough traffic to take from United to make it worthwhile.
Taking people from OMA is great except if those are already Southwest customers then it doesn't make sense to spend a bunch of money to start a station at LNK if the passengers are already using OMA.
Your other point driving an hour to OMA - that's about how far I have to go time-wise living in the Chicago suburbs to get to MDW. I'd consider hour-long trip to the airport to be normal for many cities.
As @5280Av8r pointed out the key here would be identifying what the best point to point route would be - where are people from LNK going now that they have trouble going on United?
Otherwise Southwest would likely connect this location to Denver and Houston the same as United does.
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