I think you should see it. The anti-male stuff is so over the top hilarious that it's a goofy villain type of thing instead of any real social commentary. The men in the movie are made to look like cartoon stereotypes of men circa 1972, and thus are instantly recognizable as just comedy tropes instead of real characters in the 2020's.
It all comes across rather well, because the movie is so obviously poking fun at itself and its subject material.
I found the pro-woman monologue by the mom in the movie to be only a tad cliche', but mostly full of real emotion. And anyone who had a mom in their life who tried to do it all will probably tear up during that monologue. I teared up a bit at that scene, while my sister next to me needed a full supply of Kleenex.
Anyone who was born after 1950 can relate to Barbie. It helps that it's also just a fun, summer, toe-tapping movie with some good belly laughs and plenty of eye candy for everyone.
The perfect summer movie for happy Americans. I think you'll find stuff to like about it.