In my mind, the Berry era teams (beyond the first that was Hak's legacy) lack discipline. It is not the "physical play" that is leading to the penalties as much as it is lazy or out-of-position plays that causes most of the offensive zone penalties (that we should never be taking) and many of the d-zone penalties as well. There are plenty of teams full of huge defensemen. They are not all getting punished like we are.
The portal needs to go away. Berry has become dependent on the portal to fill gaps caused by lack of planning, recruiting, and developing both individual player, and teams as a whole.