I do agree that a "silent game" would be cool, however I don't find all the extra things at games a nuisance at all. If they are done right or if the team running the promotion does it properly, it is a nice addition to the game and the fan experience as a whole. Something like the Freeze races in Atlanta are an example of a promotion that is done right. It's different from what most teams do and it adds a bit more excitement in a lull later in the game (as much as I love baseball, it sometimes needs something extra like that to add to the whole experience).
What I do find more of a nuisance are when the sponsor is crammed into a part of the game where it doesn't need to be. Like I've been to hockey games where they throw a commercial for a sponsor after a whistle that isn't connected to anything at all. Or how every power play or penalty kill is sponsored by someone. I don't care that it's "the Little Caesars Pizza Pizza Power Play!" or it's "the BK PK!" or something like that. I get why it's done since you need to maximize your profits, but there's a much more natural way that it can be done.
As far as people going to the game and watching their phone more than the game or spending most of it in the bar, I personally don't get it, but it doesn't really bother me as long as their not being disruptive and they know the risks associated with what they're doing and admit fault if something happens (getting hit with a ball while looking at their screen for example).
As for all the extra stuff at games, it's what teams have to do now to get fans to keep coming to games. If you strip it down it sounds kind of stupid, but it's true. When I go to a baseball game for example, the main reason I go is for the game on the field since I'm a fan of the sport. However the whole reason I go to games is for the full experience. I want to be with the crowd on a warm summer day. I want to see what cool things that some of the ballparks have to offer, or see what else I can do at the park for an inning if the game is going slow or if it's really hot outside. As much as I love watching an analyzing sports, why would I spend $100 to watch every second of a 3 hour regular season baseball game in person (especially if neither of the teams are contending), when I could do the same with a better vantage point and decent analysis at home for free?
It was different like 30-40 years ago when most games weren't televised, and the entertainment dollar wasn't competitive as it is now, plus games were cheaper. But now the extra stuff and fan experience is what's keeping people coming to the games, and when a single game for a family of 4 costs the same as a one year Netflix subscription just to get into the park, you want to make that experience worthwhile so people will want to keep coming back to the park and spending their money there, as opposed to just watching the game at home. While I do like the games, I do think the extra stuff is necessary nowadays. The only way I can see a silent game happening is as a gimmick, or if they did a night dedicated to people with sensory issues coming to a game.