Clacking sound in engine. Not during initial start up.

Yah, it could be.

Check to make sure oil pressure is within spec. As far as a common problem, there really isn't one. Also, lifter issues are usually noticed during start up.

Check this out? The intake rocker shafts have a
bolt that runs through them that doesn't allow it to move. The
exhaust has dowel pins that hold them from moving. Those dowel
pins were broken off. The rear exhaust shaft was protruded
out. Oil is delivered through that shaft to the lifters. When
the shaft moves or rotates, the holes don't line up anymore
and the lifters get starved for oil.

The fix is to replace the rocker shafts, the rockers (which
include the lifters) and a pedestal kit. Fairly easy repair.

The sound really starts to get louder the more I drive it. When I accelerate it gets faster until it kicks into gear and then goes at more consistent speed until I accelerate again. I guess the sound is there from the start, just not until I initially apply gas. Anyway, thanks for the response and I am taking it into the shop tomorrow morning. Took it to one mechanic today and he told me that it would cost $2000 in labor plus a new engine. He spent 5 minutes with the car and came back with that diagnosis. I saw his shop has an F rating from BBB so I am taking it to the one down the road with an A rating.

Do some internet research as this IS a common complaint issue with chrysler. The advantage of do it yourself is cost savings since you only need to replace EXACTLY what's causing issue. Shops when not able to pinpoint or going by past experience may charge/do unnecessary work.

Thanks, fixitmr. I have been scouring the internet and have found that faulty valve lifters are frequent with Chrysler Pacificas. Also, the wheezing sound lends me to think that it is not something with a rod bearing but something with the oil pressure, air intake, etc. That might be causing the problem. This seems to be coming from the top of the engine and not deep within.

Does this have a cracked lifter tower?

Not sure what a cracked lift tower is.

Turns out it was spun rod bearings. Had that fixed but now it seems there is an issue with one of my belts. Entirely new noise coming from under hood after taking it out of dealership and I am wondering if there is just misalignment from when they put everything back together.

I would go back so they can check it out see if they goofed.

And HOW did rod bearings get spun? Usually from HOTRODDING (over reving engine) is the cause.