2002 jeep liberty siren whining noise on start up

It seems to be a well known issue

https://www.google.com/search?q=2005+Jeep+Liberty+Whining+Noise+From+Transmission

..

indicates what you suspect
the noise could be sump pressure trying to pass the faulty PCV valve and pressure in the sump will blow oil out of weak seal and gaskets

auxiliary now that really begs, a real NOUN.
really all things attached to and engine could be called auxiliary.
P./S
AC
ALT
idler there.
I guess he means the ALternator
and all ALT's do that,it's a 3phase alternator,with diodes that rectify these pulsed to pulsating DC, (noise)
the battery sucks up most this noise.. fact.

if one diode in the Alt SHORTS,OR OPENS,then NOISE GOES BALLISTIC,
I'm a radio man ( MIL and others)
car radio
ham radio
cb radio.
as you rac the engine ,the noises , a whine increases in tone.
tell you its ALT.
if ALT is OK on a SCOPE
then we add high pass filter to the radio power lead.

there are 2 paths here
power (conducted path)
and antenna (radiated path)

steam is never normal. sorry !
use a $5 stethoscope and find object that make said noise.
or get it serviced,

i cant guess reality, not ever, that be god like.
but if you can get it to a shop and not overheat the engine
it may be ok.
but noises , can be very very serious.

the engine,.
the accessory parts can all make noise,
what makes noise is key here, and no net bunny on earth can guess it. it must be found. by a live human.

Sounds as if your 4x4 actuator failed to get all the way out of 4 wheel drive. Try shifting in and out of 4WD, backing up some, etc. You may have to replace the actuator, or some part of that system. Could be time for dealer diagnosis.

One of your belts need to be replaced

CV joints OK?

You have about 25 to 35 miles left when the gas light comes on depending on the driving conditions

sounds like one of your pulleys. power steering pump, altanator, ac compressor, something along those lines.

A noise like that is somewhat serious...It could be from low power steering fluid, low transmission fluid or even the starter remaining engaged. You need to find the source of the noise right away to avoid major damage!!!