"Christianity has not, and does not profess to have, a detailed political programme for applying "Do as you would be done by" to a particular society at a particular moment. It could not have. It is meant for all men at all times, and the particular programme which suited one place or time would not suit another. And, anyhow, that is not how Christianity works. When it tells you to feed the hungry it does not give you lessons in cookery. When it tells you to read the Scriptures it does not give you lessons in Hebrew and Greek, or even in English grammar. It was never intended to replace or supersede the ordinary human arts and sciences; it is rather a director which will set them all to the right jobs, and a source of energy which will give them all new life, if only they will put themselves at its disposal." - C.S. Lewis, "Mere Christianity."
So, yeah, if the Jewish carpenter from the Middle East more than 2,000 years ago were around today, I'd doubt that he would be politically-affiliated with any of the two modern American parties.
Also, if you can't tell, the title to this comic is a play on Brad Jones' newest film, Jesus Bro, which is a parody of those corny Pure Flix movies. Check it out for yourself! :D