These examples are given in my textbook in the chapter on subjunctive mood:
We insist that the meeting should be held as soon as possible. or We insist that the meeting be held as soon as possible.
It's necessary that the sequence of actions should be changed. or It's necessary that the sequence of actions be changed.
Firstly, why is should rather than would used here? Should is only used when the subject is in the first person, you know.
And, secondly, which way would you use?