LSD only install
Is it as easy as popping it out and dropping the ring onto the new unit ?? Well... yes and no. Yes it is that easy. But, no there are a few more steps and/or considerations that you should think about.
The ring gear swap is pretty much a no brainer. You should however, install new carrier bearings while you are in this far. Its cheap insurance. The probability of the 'no' is about the lash and carrier pre load.
You will need to check the lash and you may have to reset the pre load... which will require an adjustment. Just because you are replacing one for one, doesnt mean that the machining tolerances are the same. Yes, it will be in the ball park and probably very close... but you might need to make some adjustments.
I am not saying that you will, no matter what, have a need to make adjustments... but you should be made aware of the possibility for an adjustment. Lets hope you dont have too... but honestly, I think you may need to correct the pre load at a minimum. It may be worth it to purchase a super shim kit as well. That way if you had to make an adjustment... you could. And very easily.

