A prefix walks into a tabernae sopionibus scribam:
The process of taking Latin and making English words is less scientific than you might think - although it's very popular in science. Despite what English majors might want you to think, there aren't really formal rules.
Start with a functional knowledge of Latin. This is easier than it sounds, because a LOT of people know a lot more Latin than they realize. I work in science, and people want their fancy terms to have that Latin gravitas. Fortunately, there are lots of good online translation tools that help with accuracy, but it helps to be able to intuit alternate words with the same or virtually the same meaning (like theo- and dio- as prefixes both mean god. Try to translate many similar words into Latin, since they will come across with different alternatives. For tavern (tabernae sopionibus scribam) you get a phrase, but pub and bar both translate identically into Latin. Catholics get an unfair advantage here, because they are still exposed to lots of Latin in church despite reforms.
Then start splicing words together with the meanings you want until you get something that has the feel you are looking for. With your division of god, I would go dio- for god and -sect or -section for cutting. Diosect would roughly translate to cutting apart god. Since this word is similar to dissect, which people know and understand, it is more intuitive to potential readers. Theodiviso, while technically correct, sounds like you're discussing the differences between Father/Son/Holy Spirit, since it sound like "divisions of god."
Similarly, theokineation sounds a lot like kination, which is a cosmology based on kinetics of matter in the early universe. While the words share common Latin origins, the application and sound of it are different. Theokineation sounds like God shaping the creation of the universe.
So a decent working knowledge of Latin, a good translator program, and an ear for what sounds right will get you a long way towards making your own Latin compound words for fun language.