Here's how I see it:
1. Bros be bro-ing, with alcohol and weights. (not sexist)
2. Bros decide to program, bringing with them their bro-baggage (not sexist).
3. This becomes a meme: brogramming (not sexist).
4. Douchebag recruiters capitalize on latest meme in sleazy fashion, advertising "naked women" (definitely sexist).
5. Some women (ok, more than just you) and all reasonable persons are (rightfully) outraged at that blatant display of sexism.
I still don't seen anything offensive about brogramming itself --- insofar as brogramming consists of bros who like to program. If assholes are going to make sexist remarks/be sexist, you are entirely justified in calling them out for those vile acts, and I will happily join you in doing so. But your blogpost reads like a witchhunt against bros for... being bros.