That kind of silence the opposition type thinking exists on both the Left and Right. Generally, in my experience, it’s the left who want to silence views but not exclusively. That being said I don’t have all the information; I’ve not seen this particular story. Generally speaking, you should be able to hold whatever views you want, providing you don’t act on them and they are private. However, if said doctor is supporting Hamas and its actions on social media or is in a position where he has expressed extremist views which could influence how he treats a particular patient then yes, he/she should be sacked.