I'm not usually quick to take offence about what others say or do but there are certainly plenty of people who are.
Strictly speaking, it's not a political issue in that people from all political viewpoints and opinions can be quick to take offence. However, an honest look at which type of people demand safe spaces at university, at which kind of people demand others to be sacked for giving their opinions, etc., will likely inform you that a majority is of the activist left.
E.G. you don't get many people trying to get trans people sacked for comments - it's typically the reverse. Some people say trans women aren't women, and then left-wing activists try to get them sacked or visited by the police.