That's a nice slogan and all, but if you expect a 5'11" 185lb DB like Johnathan Joseph to tackle a 6'4" 230lb WR like Brandon Marshall (to say nothing of a 6' 230 RB like Arian Foster) by "putting his arms around him and tackling," that's not very realistic.
It's not a 1 on 1 game. There are 11 defenders and only 1 ball carrier. All you have to do is slow him down, the other 10 will bring him to the ground. That's how the game was played for decades before it became the norm to simply throw your shoulder into a guy's knees and HOPE that he goes down.
I agree with Pappy.
Would a rule requiring the same type of tackles we expect from Pee-Wee players and high school players change the NFL game? Yes.
Would some claim adopting the same rules as Pee-Wee is wousification of the game? Yes.
Would it make it even more offense friendly resulting in higher scoring games? Yes
But....
Would it mean that NFL players come closer to being role models? Yes, no more "how come we aren't allowed to tackle like that, that is how the pro's do it" from overly aggressive pee wee players.
Would the game be safer? Yes.
Plus, with the exception of very few fans, most fans prefer an offensive friendly games. While some fans may have fond memories of the Green Bay Packers defeating the Chicago Bears 2-0 on October 16, 1932. Most fans would take Arizona Cardinal/Green Bay Packers 51-45 on January 10, 2010 as a more exciting game than a great defensive struggle.