Amy Chang, a Disney board member, served with Peltz on the Procter and Gamble board. Word is that many of the P&G board members loathe Peltz and think adding him to the board was a mistake. He was full of terrible ideas, wasted time in the boardroom, and their focus was on ignoring him more than anything else.
And Peltz publicly admitted to being a bully so we know who the real bully is in this fight.
As other posters have pointed out, just because the company won’t collapse doesn’t mean you invite someone into your home with suspicious intentions, bad ideas, and a distressing history.