Yesterday I was at the Twins game against the Red Sox. The Twins lost 3-1, with Boston's Varitek hitting two home runs. The Red Sox had a player score at home plate in a close play. The fans were very upset about the call, which for a good amount of them I have no clue what they were upset about since there was neither live video of the play, nor a replay on the video screen. Fans around me were booing, despite them being in center field and in the upper-deck. They didn't have anywhere near a good view of a play that would happen at second base, let alone a view of a play at home plate. Both the Twins and Sox catchers were tossed from the game and both their coaches were as well.
As I said I didn't have a view of home plate and I haven't seen a replay of the play at home plate, but whether the ump Tichenor got the call right or wrong is besides the point. If he got the call right, good for him. If he got it wrong, well that happens in life and in sports.
The four ejections from the game likely fell under rules 9.01 and 9.02 of the rule book:
9.01
(d) Each umpire has authority to disqualify any player, coach, manager or substitute for objecting to decisions or for unsportsmanlike conduct or language, and to eject such disqualified person from the playing field. If an umpire disqualifies a player while a play is in progress, the disqualification shall not take effect until no further action is possible in that play.
9.02
(a) Any umpire's decision which involves judgment, such as, but not limited to, whether a batted ball is fair or foul, whether a pitch is a strike or a ball, or whether a runner is safe or out, is final. No player, manager, coach or substitute shall object to any such judgment decisions.
Now older umps may have let some or all of the stuff go on longer before ejecting the people or may have not ejected some or all of them at all. Still, how long the person may argue the call or how mad they may get about it is not defined under the rules, so the ump is under no obligation to give leeway.
Redmond may not have ever been tossed in his MLB career, but he definitely got in the ump's face and was yelling at him. Thus he took that chance of getting tossed. The Sox's Beckett was lucky he didn't get tossed as well.
If a player/coach gets mad and yells at an ump and gets tossed it's the player's/coach's fault for not keeping their cool. I'm not saying the ump's call at the plate was right. I'm not saying either. Umps/refs are human and make mistakes, same as the players and coaches do.
If any of the four people ejected from the game would have kept their cool and discussed the call with the ump, it's much more likely they would have not be ejected.