I own kettle bells and dumbbells. This is anecdotal. I don't do hardly any barbell exercises other than dead lift and bench, and I deadlift badly.
In BJJ / MAA, most people with a similar lean body mass can run right through me. They can clinch and if they want, run right through my body into the cage.
However, and this could be skill instead of some benefit from the kettle bells or dumbbells, but I rarely get taken down and I feel stronger than them once we lock up. From any odd angle someone who can run through me still feels weaker than me.
It suits me because I never liked to clash anyway. I like to try to get to a person's side and go from there instead of head on.
I personally think I am making lemonade out of lemons, and that if you are healthy, you should use the barbell, and add in the stuff I do during breaks.