I think the problem with the Tush Push is now the Meta around it moreso than the actual play itself. It began as a pretty clever and legal play within the rules, but this KC game put a spotlight on what's actually been happening for a really long time - neutral zone infractions, false starts, offsides, and difficulty for the referees to officiate it cleanly. A small part of the reason the Eagles execute it so well so often is because they break some rules to do it and don't get penalized. These infractions long pre-date what happened against KC this past weekend... I think the KC game just put a bigger spotlight on it.
Overall, I have been against outlawing it... but I think if it can't be officiated cleanly or fairly, and results in widespread, uncalled penalties, then it's time the league acts. Not because the play concept is broken but because the Meta around it has become distorted and unenforceable.