I was resisting having to do a step by step but here goes. In order to get those sceneries working in v1.3.1 you need to do the following. First of all make sure that you work on copies of the dll.xml and exe.xml files so you can easily get them back if you make a mistake.
1 - Disable SODE v1.2.x by going to the following directory, Users\YOURNAME\AppData\Roaming\Microsoft\FSX.
2 - Disabling the SODE animation module. In the dll.xml file you must comment <Disabled>True</Disabled> in the entry that refers to v1.2x installation. It is the text block which has the entry <Path>C:\FS\Microsoft Games\Microsoft Flight Simulator X\Sode\SimObjectAnimationModule.dll</Path>. Do not edit the text block which has the entry <Path>C:\Program Files (x86)\12bPilot\SODE\SimObjectAnimationModule.dll</Path>, this one is for SODE v1.3.1
3 - Disabling SimObjectDisplayEngine.exe. In the exe.xml file you must comment <Disabled>True</Disabled> in the entry that refers to v1.2x installation. It is the text block which has the entry <Path>C:\FS\Microsoft Games\Microsoft Flight Simulator X\SODE\SimObjectDisplayEngine.exe</Path>. Do not edit the text block which has the entry <Path>C:\Program Files (x86)\12bPilot\SODE\SimObjectDisplayEngine.exe</Path>, this one is for SODE v1.3.1
4 - SODE v1.2.x is now disabled.
5 - Copy and paste the files HTKJ_L.xml, TNCB_SODE.xml and UWGG.xml from the folder Microsoft Games\Microsoft Flight Simulator X\SODE\xml to the folder ProgramData\12bPilot\SODE\xml
6 - Copy and paste the folders (and the files inside) HTKJ, SODE_TNCB, and UWGG from Microsoft Games\Microsoft Flight Simulator X\SimObjects\Misc to the folder ProgramData\12bPilot\SimObjects
7 - Enable SODE v1.3.1 via the Platform Manager.
That's all you need to do. Remember that both versions of SODE should not be run at the same time. Also remember that with UWGG and HTKJ, using the Tab+S command will have no effect as SODE is not used to control animations, only environmental effects . This is not the case with TNCB as it is also used to control the PAPI as well as environmental effects. You will also note that there is an error there, the runways are mixed up when you select Tab+S. All you need to do there is correct the entries in the TNCB_SODE.xml file. I can also help you with that if necessary.
Please note that I'm not the developer of either SODE or the sceneries in question, I do not work for Aerosoft or any other related company. These steps are a description of the actions I have taken to successfully use those sceneries and others in SODE v1.3.1, which I personally think is a great product.
Good luck!!!! I hope this helps you out.