[chompers]

A dilemma with skills that has an effect if you fail, otherwise stops the personnel that use their skills to meet the dilemma requirements

Example:
Unless you have Medical and Physics all your personnel are stopped. Otherwise, each personnel using a skill to meet this dilemmas requirements are stopped.

So an unlikely ALL stop that works as a filter (targeting a specified skill) of one or two personnel.

Does the italic part work with the rules of the game?

[Jono]

A dilemma with skills that has an effect if you fail, otherwise stops the personnel that use their skills to meet the dilemma requirements

Example:
Unless you have Medical and Physics all your personnel are stopped. Otherwise, each personnel using a skill to meet this dilemmas requirements are stopped.

So an unlikely ALL stop that works as a filter (targeting a specified skill) of one or two personnel.

Does the italic part work with the rules of the game?

Better text would be:
When your personnel uses a skill while facing this dilemma, that personnel is stopped. Unless you have Medical and Physics , all your personnel are stopped.