Athenian, NTJs will not be impressed by your frustration or temper tantrums as long as you do not obstruct the flow of the project. And if you do, they will crush you as you're standing between them and their goal.
However, it is possible,ime, to stop them in their tracks for a short while, and have them pause, provided you bring the right tools. That means that you can get them to care about people if you are able to demonstrate that your suggestion will in fact improve the efficiency of the project. More even, they'll greatly appreciate and respect you for those suggestions, even if it means that in the moment they might sigh, moan and bitch about the fact that they need to keep peoples feelings in mind.
My INTJ actually regularly asks me how to handle certain people in his firm. These days not so much since he figured out that if you know the people, and you can predict how they will respond, you can get around them best by...well...understanding them and anticipating their needs. If he need someone in a project, he will cater to their needs to make them cooperate as smoothly as possible, thus increasing the efficiency of the project. People become just an extra obstacle to manoevre around.
If you are able to explain it in these terms to an INTJ, they will reluctantly see that efficiency and the project are benefitted by them spending 5 minutes extra on a persons feelings than dealing with the mess of a 'hurt' collegue which can take a few hours to clean up, or worse, destroy the integrity of a project. And if you are able to explain it this way, INTJs will notice you..in a non-crushing way, though frustration is still to be expected