You do realise that you are just spouting the same misogynistic bullshit that male chauvinists spew out on a daily basis, don't you? If you really do believe that women deserve equality, you've got a funny way of showing it. You don't have a whole lot of respect for other women, do you?
It's perfectly normal to cry and it's not just women who do it. My dad, who is in his 70s, gruff and completely incapable of expressing emotions in words, is renowned for blubbing at the drop of a hat - and I love him all the more for it.
Also, most women don't just burst into tears in front of people. They go away somewhere quietly, have their cry, and come back. They don't cry in front of people for sympathy or 'collapse into pathetic wrecks'. They might mention it here, but that's because they are talking to other women for support and sisterhood (which clearly you aren't keen to provide).
When I see people say on Mumsnet that they are in tears, it's usually because they have had a truly horrible or upsetting experience - they've been treated like utter shit by someone they really love, or they're in dire financial straits and might lose their house, or they've had some awful shock. I rarely see anyone in tears for trivial stuff.
Showing feelings is not 'weak'. That's a pile of bullshit. Women being equal with men does not mean they have to act like them - and in any case, that 'boys don't cry' crap does men a terrible disservice and is deeply harmful.