I spoke with my trainer about what I needed to do to succeed in the ring

That pretty much nails it. Martial sports are about succeeding, not surviving. I don't mean that martial sports can't get bloody and ferocious, but really, you need to score points. There is this something pushing you to fight, to attack, to win. In reality there is no victory other than survival. The mentality is just so much different. Imagine trying to score points against a guy standing against you calm and cold with his katana drawn out :-)

Having said that, there is naturally a huge overlap between everything that I've mentioned. It is all "martial". I only wanted to mention slightly that there are still some differences and that you should practice according to what you want to achieve.