Yes, you got it. Reduce the distractions in your mind by using some of the techniques mentioned, and that will allow you to relax more and perform how your body has been trained to perform.
I used to think about hitting the baseball all the time every day through college and into pro ball. Baseball was a large part of my day and occupied my thoughts often when I wasn't on the field. Just make sure that you can let things go when your mechanics aren't going well and pick it up fresh the next day. You'll be more productive when you learn how to do that, and baseball will be more fun too!
Training your brain is just like training your body. It takes consistency and effort, daily.
Keep us posted!