Wierd, how do you propose it ends?
Further, please describe for me the scenario you believe will occur from there on once the mechanism of ending it is enacted. I will try to do the same, from my own perspective, and we can compare our different viewpoints and levels of understanding of various parts of the issue. From there, perhaps, we might be able to achieve consensus.
From my perspective and experience, safe spaces, as they are meant to be used, are precisely that. They are areas where people who have been harassed or abused in the past can relax, their shoulder down rather than by their ears. A place where they do not have to watch over their shoulders for people who might throw a bottle at them from a pickup truck. Safe spaces are intended to be places where people can talk about their experiences and worries and fears, and be assured in the knowledge that no one there is going to judge them inappropriately for such. For the record, I've had something similar to that bottle-throwing thing occur to me, personally, biking home from school. Honking at someone in the middle of riding on a bike, while traffic is going by, is an unsafe idea, for the record, and please don't do it. When people yell 'faggot!' in the middle of it, it really doesn't help matters.
That is the purpose of them, as originally intended. It is sometimes (no implication of frequency is being made here: it is not all of the time; it is not none of the time) twisted to justify other behaviors. These behaviors usually include forcible expansion of safe space practices with the idea in mind that proximity, whether social, academic, or physical, to individuals with opinions or beliefs that one finds offensive and frightening, is itself harmful and must be prevented to ensure people's continued safety and/or mental health. It is used to ensure that only people with the appropriate ideas are allowed to disseminate or discuss them in semi-public forums such as universities (yes, they are technically private, except that the whole point/concept of the university is free speech 'n open communication for the purpose of learning and discovery 'n shit). That is an abuse of the concept and one I dislike.
If you want to refer to the second type of behavior, please use a term other than safe space, which grants it some modicum of legitimacy and reason, and allows them to be conflated with actual safe spaces, which allows for them to be defended on a moral ground they do not deserve. If someone else tries to use the term, just use a different one in response, and if questioned about it, bring up actual safe spaces and the way this is different and you would rather not conflate the two.
And that is why I do not believe the rise of safe spaces are a problem. Bubbles and demand for adherence to specific ideology, yes, that is a problem, and that is not limited to the left by any means. But you can't force someone out of an echo chamber if you're not in it to begin with. Trying to do so is rude and not your job, in the first place, if they don't want to leave.