Переформулировать вопросы, убрав заложенные в них негативные эффекты. Хотя бы парочку
1 Are you really sure we can meet our deadline?
2 Won't we get support from headquarters?
3 Do you really think this will work?
4 Do you honestly think we can rely on them?
5 Isn't there a better way to reduce costs?