To even make a statement like this you would have to assume that Jesus is a mere man. If that's the case, who cares what Jesus would have to say on any given subject? Why would I assign any more authority to what he says than to what my barber says?
However, if Jesus is the Son of God, and the Bible is the Word of God, then all of Scripture would speak to what Jesus would say on all subjects. Then it becomes very obvious that the author above is wrong on nearly every count.
Oddly enough I might agree, to some extent, with the author's motive. I'm sure he's reacting to some who would appropriate Jesus' teaching to aid their political or social cause. However, he is engaged in the same thing, only worse. He uses mischaracterization, half truths and flat out lies. It would almost be amusing to me if he weren't so blatantly using the name of our Lord in vain, and, by virtue of clever soundbites, will lead others into the same sin.