When I go to google maps and type in Jersey City to Port Street and choose "bike", I get the route you described. When I reverse the route Google shows alternate routes.
The alternate through Harrison is only a half mile longer and keeps you off of Doremus as long as possible. The street view of Doremus looks menacing.
I know you only asked about the route, but I would suggest three things (If you don;t already use them) to make riding on those truck-heavy streets a little less un-nerving.
1) A helmet or glasses mount mirror. They can take a little getting used to but you will see traffic coming up behind you as easily as you do using the mirrors in a car. If a wide load is coming up behind you, you can pull all the way over to the right and even stop if you need to. I have a couple of streets with no shoulders I do this on.
2) Flashers! on the bike and on your helmet...bright daytime flashers so THEY CAN SEE YOU>
3) An Airzound Airhorn. I've been using them for 20 years. You pump it up with your bike pump (a floor pump works best).
It's been a while, but I have been to the Newark Airport area a few times over the years and there is some formidable traffic on those streets. As I began looking at the street views I recognized some of the Turnpike stretches. I grew up riding and driving in Chicago, and Newark is crazy!
Good luck, and let us know what route you dchoose.