Proof is in the pudding. There is no recorded incident of wife beating by our Holy Prophet Mohammad (SAW) or his companion and many , many generations of Muslims afterward. They had implemented Islam in their life to the core.
That is my proof also that modern exegetists are right about the interpretation of the verse which is quoted as proof that Islam allows wife beating, but modern exegetists say it does not translate to giving a license to wife beating.
All of the following links deal with your questions, wife beating , women as a witness , women’s share in inheritance.
Islam , culture and women.
Status of women in Islam
Some misconception about women in Islam Part I.
Some misconceptions about women in Islam – II
I can quote more if you need.
The last but not the least you are comparing apples and oranges by the hadees you quoted.
You started talking about a verse from Quran which according to you allows wife beating , which this hadees does not relate to your stance at all.
This hadees does not provide a proof that a husband abused , beat up or mistreated his wife. So You know Hazrat Aisaha (RA) was daughter of Hazrat Abu Bakar(RA).
Now back to history. You say all religions were invented by men not by women. Now my question is why is it so ? Why any woman did not come up with a religion which will give them more power over men ? What was stopping them during this long history of human kind ?
In the human history we see women have lead armies , they have surmounted mountains , they have crossed the oceans etc etc. Why not a single woman came up with a divine religion which will give them power over men ? Because Allah created us , Allah appointed his prophets , Allah knew a woman will not be able to bear the burden of being a prophet that is why. Allah has given men and women different roles in society and family because Allah know which gender is most suitable for what roles.