Wobbly shifter: Is this normal? (video attached)

Quick question, the NV3550 needs special fluid in it right? I'm not sure if whoever had it before me put the right stuff in it. Is it a big no no to run it on non-spec oil?

Ya, do not run off-spec fluid. I would recommend the redline MTL. Others have had good luck with syncromesh and what-not but mine did not like it.

MTL or the Mopar fluid, but mopar is $$
 
The Red Line MTL makes all the difference in the worls. Most lubricants don't jive with the syncros and the tranny will grind when shifting. I stubbornly tried regular gear oil, colossal fail.