Although I like the answer by Sourav Gosh it does not adress you problems with the women's support group itself.
First: you cannot, atleast not to the full extend, judge the hardships or difficulties that women (or other minorities for that matter) might stil face at your company. Why not? You are not one of them. Is that fair? No. Is that true? Sadly yes. Therefore you cannot judge if a Women Support Group is neccesary or not. So should you try to stop the women support group? No
However that ofcourse does not mean that you should be excluded from these potentially valuable sessions. I agree that they should be in some form available to you as well. For this I agree with the answer given by Sourav Gosh.
So to answer your question:
Are either of these even worth doing, or is my best bet to keep my head down while looking for a company more aligned with my personal values?
If you really cannot get over this, yes look for a different company but do ask yourself what bothers you more first. The group? That such a group might still be needed? Or the missed sessions?