You may be overcooking your chicken:) I roasted a nice organic chicken last night and the meat was amazingly soft and almost melted in your mouth.
The chicken that I cook myself is plenty soft. But it is nothing like pre-processed chicken. In particular if you pay attention while chewing you realize that the pre-processed chicken doesn't have a lot of internal texture than the home cooked chicken does. Read The End of Overeating for more details.
Here is an experiment. Get a some chicken and cook it yourself. (If you need an easy recipe, try http://www.recipefiles.org/view_recipe.php?id=551 - my kids love it.) Buy some pre-cooked chicken from a fast food restaurant like KFC. Attempt to eat pieces of both chickens. You generally will need to chew the chicken you prepare yourself about twice as much before swallowing. The reason is that the preparation for the fast food chicken involves breaking down all of the internal texture of the chicken while injecting a mix of sugar, fat, salt and water to plump it up and make it more tasty.
If you want to look at this another way, stop looking at processed food as food. Look at it as a drug delivery system. The drug is a combination of sugar, fat and salt, and easy administration of the drug is an explicit design goal.