First off, compared to what the average tumblr feminists say, she isn't nearly as stupid.
Her UTC-idea wasn't that bad. Would have been my first idea as well. People can adjust to a second clock. We know that b/c some people work with offices oversea in real-time. A second clock on the wall is all that's needed for starters, after a while it becomes intuitive to most.
The metric time thing is easy accessible for people who desperately need it (e.g. std::chrono::steady_clock can have any unit you wish for and is absolutely type safe thanks to template magic). But it's not widespread for a good reason: Day/month/year are very, very intuitive units. Some of them are hard-wired. We get sleepy in 24h intervals, months are engrained in our reproductive system, years are challenges for us to survive winter, etc.
Not to use them would be pandering to math or electronics or people thinking it's to hard to calculate with them. Metric time has it's purposes, but not the one she imagines.
And again, even if I disagree with her, she is not what's wrong with our society. She is far from SJW levels of stupidity and does not fit in this thread.