Yes, we train with the Bowie type knife. We train the same way we train with all knives. Eventually, you have to isolate the knife, rough up or destroy the assailant and either take the knife away, leave the knife in them or run away. Like my teacher says "Everybody gets cut in a knife fight you either go to the hospital or you go to the morgue". You have to commit fully.
---There are methods specific to big knife that you can't really do with a tactical folder. So, in my experience, the training is not exactly the same as "regular" knife training. I think it has more in common with training the sword than a small knife. And the Bowie has methods that are specific to it.
BTW, there is a Kalis Ilustrisimo class that meets in the park close to my house in Irvine, CA. Dedicated bunch of folk there. The instructor (I forget his name) does not charge for lessons. He has about 10-14 students.
---Cool! You should jump on that! Finding someone competently teaching Kali Ilustrisimo is a somewhat rare thing! ;-)
---The reason I am finding Kali Ilustrisimo to work so well with a Bowie knife, is that it is a blade-based system. Many of the modern FMA systems are more stick-based now. And the blade that GM Ilustrisimo used was essentially like a very long Bowie Knife! GM Ilustrisimo based things on fighting from long range whenever possible. This is the same as in western swordsmanship. Many of things that he did are found in historical western swordsmanship. After all, there are only so many ways for a human body to move, and move well! ;-) The "Lutang" step in KI is touted as something unique to the system and special. But this is documented in historical western fencing manuals dating back to the 1700's. Some people on the HEMA side of the fence frown on combining eastern systems with historical western systems. But there are no historical fencing manuals that cover the Bowie knife. There are historical tidbits and hints found here and there. Its a no-brainer that western sword methods would have been applied to the big knife historically. But in Kali Ilustrisimo we have a system that was used successfully in dueling in fairly recent memory and that shares many technical features with historical western swordsmanship. And the blade typically used actually has more in common with a large Bowie Knife than a western saber does.