That video was taken after the car had sat for about two weeks, and it was started on a pretty much dead battery.
Today, I started the truck with a full battery, so the startup was fast and took a normal amount of time, and the idle sounded normal to me.
However, the truck still had white smoke. I drove around for a bit and still, the white smoke was there when I accelerated, even after I had gotten it warmed up.
So there's just a little more information for you guys.
Guess it looks like I'm gonna have to get some new injectors.