Yeah, no surprise with the dairy they are the worst and shittiest foods on the planet - probably worse than meat even.

But basically, the simple answer to weight management is: go vegan.
It's almost impossible to become obese unless you stuff your face with the Omega 6s as you said.
But if you stick to veggies and fruits you'll be fine.

If you have not tried yet (and since it's still summer). Water melon etc. are awesome fruit for weightloss and also hydrate you.