[T-Mobile Samsung Galaxy Note 3] geekbrained5116:
I may have a procedure that may work with your device, I have tested this procedure many times over on my SCH-R530U Running 4.4.2-ND4, SCH-I535V Running 4.4.2-NE1, SPH-L710S RUNNING 4.4.2-ND8/NJ2. Those are all Samsung Galaxy S3's Series Phones on Sprint, Verizon and US Cellular. My procedure requires a more recent version of TWRP 2.6.0.0 or higher SafeStraps With TWRP have a version that should work but any version with a partition wipe should also work Since I also have a SM-T217S where a it also works to unlock more features on TouchWiz ROMs not normally available on the Factory Installed ROM. Your also going to need to Get Odin Downloader 3.07 or higher as well as the Official Factory TouchWiz ROM and I used 7Zip as well for this procedure and Of course your PC, If you have a Locked Bootloader Device Like the SCH-I535V 4.4.2-NE1 a TWRP SafeStrap Recovery can be used as well. I have only tested this with TouchWiz ROM for the 4 Devices, however, the SM-T217S is not Voice Capable so there is no official SIP Stack for that device. I'm Sure that this procedure may also work in a similiar fashion with ClockWorkMod/Touch Recovery Or PHILZ Recovery as well since the options needed are available on those recoveries as well. Step One is to get the Official Factory TouchWiz ROM and run it I say this because if you have a modded rom to begin with you may end up losing your internal storage support if you do not run it first and run it using ODIN default settings. Step two is to get the proper TWRP / CWM / PHILZ recovery for your devices and flash it with ODIN if there is no custom recovery you may be SOL on this procedure. The trick here is to modify the factory image after Running the Official Factory TouchWiz. Prior to Running you TouchWiz ROM a second time,you are going to extract the official MD5 Tarball, I used 7Zip to do this I'm sure others will also work as well you are going to tar the Image using but with only one file in it rather that the 9 that it would come with and to make things faster don't compress it, just store it, compressing it makes the image take a lot longer to deploy with ODIN in the Kit Kat Based TouchWiz ROMS the only file you need to re-tar would be system.img.ext4 and you do not need to re MD5 it either since Odin supports a Tarball directly. Before flashing the device with the Modified TarBall with only the system partition make sure you boot into your Recovery (CWM / PHILZ / TWRP) and format the /system, /data, /cache, /dalvik-cache do not wipe internal storage or /data/media as it may cause problems with accessing the internal storage. The original Cache Partition sets a proper SymLink to /data/media/0/ if you wipe that the ROM will see it as /data/media with will break the SymLink making third party apps not to see the Internal Storage. SDFix apps will not properly SymLink Internal Storage as I have tried that already and I've had that problem. The original Tarball on all the ROMs I've tried have a cache partition with will Re-Odex your system files to Samsung Settings so by modifying the TarBall to have just the System Partition and clearing out all the other data partitions will allow a default TouchWiz ROM to install including the option for the Native SIP Stack you are looking for. I happen to discovery this my accident one day using my L710S when upgrading to NJ2 where i would mod my image to include the TWRP recovery instead of the default SEC one it has worked every time since I've figured it out it even worked on some of my Motorola and LG Devices as well using their respective TWRP recoveries and Firmware Downloaders. Since I've tried it already on all three of my S3's with Official Factory Firmwares as well as on my T217S gave me more options as well it should work for you too. Haven't Tried it with any official Lollipop Firmwares since my devices are only KitKat Officially Right Now.

Give my Procedure a shot if it works let me know. Good Luck with It DOOD.

Also after you do this if you want the Google CNAM lookup support which isnt available on the TW ROMS UltimaROM has a 4.4.2 AOSP flash script with the dialer and contacts based on the AOSP Versions but it doesnt always flash right on all the devices. So that might not be a option for every rom I have gotten that script to work right with the L710S and The I535V however unable to get it working right with the R530U

One Last Thing this can also be done with out a custom recovery as long as you can wipe your dalvik-cache and to a factory restore which will wipe the data and cache and then running your modified system only tarball as odin will replace the image instead of modify your current system parition. If you are rooted Lucky Patcher has an option to wipe your dalvik-cache. I havent tested this trick but in theory it should work too.