Qcmbr, this author is taking Jesus words literally. He was obviously not talking about literal swords, or plows, and he did care about his own family.
The principle of loving your neighbour as yourself starts with those closer to you, usually your family members. Normally nobody needs to remind you to love them, in normal families and for normal individuals that happens naturally.
What is behind Jesus’ words is the principle of justice, as in for example, let’s say your son is a serial killer, you know it, but out of loyalty, you say nothing, you shelter him and help him as much as you can, because after all he is your son. If he kills hundreds of innocent people, tough.
The fact that some religions like jws abuse this principle doesn’t make it any less valid. There needs to be a balance as with everything and this author is taking his point of view to an extreme to discredit the whole of Jesus message.
What he is saying has nothing to do with what Jesus taught his followers.