The OP poses a paradox.
The United States was founded on Christian principles. So Jesus could not have been born into the United States as we know it, because the United States as we know it could not have come to exist if Jesus hadn't predated it, and caused the principles to be established before the United States could be founded on them.
I personally consider it arrogant, and a bit blasphemous to try to attribute political positions to Jesus. He never said much about how government should operate, and I doubt if he would do so if he was here today. He never did say, and I doubt he ever would, that we should compel government to take wealth from those who have worked to earn it, and give it to those who have not. What he advocated was voluntary, individual charity, not government-forced redistribution of wealth. What he did say is that we, as individuals, should share what we have, with those who are less fortunate.
He also never said anything against the right or duty of sovereign nations to defend themselves and their residents against foreign invaders, and I very much doubt that he would do so today.
And no…
What would Jesus—the baby born in Bethlehem who grew into an itinerant preacher and revolutionary activist, who not only died challenging the police state of his day (namely, the Roman Empire) but spent his adult life speaking truth to power, challenging the status quo of his day, and pushing back against the abuses of the Roman Empire—do?
…he did not die
“…challenging the police state of his day (namely, the Roman Empire)…”, nor was he
“…pushing back against the abuses of the Roman Empire.” To the extent that he challenged any body of authority, it was the religious leadership of his day that he challenged, not the government leadership.
Then again, had Jesus’ parents been undocumented immigrants…
Irrelevant. Jesus and his parents were not illegal foreign invaders (let's please use honest language, and not the intellectually-dishonest politically-correct wording). You might as well say that if Jesus robbed a convenience store, we'd have thrown him in jail.
There's a lot more wrong with the OP's article than what I have addressed, but I have other things to do with my day than spend it all picking this article apart. I think I'll leave it at this, for now.