I am sceptical about introducing equal primogeniture in the United Kingdom. It's okay for countries like the Netherlands, where every monarch was the eldest child of the previous monarch anyway. In the United Kingdom, however, there is a 900 years long tradition that can't be broken so easily.
Another problem is succession to the peerage titles. It will be a lot harder to establish equal primogeniture in e.g. succession to the dukedom of Norfolk and other peerage titles which follow strict Salic law. The Duke of Norfolk is also the Premier Duke in the Peerage of England and that position was held only by males throughout history (indeed, when a woman inherits the highest title of a certain rank, the position of premier peer would go the male holder of the next highest title of the same rank). There is also a tradition that all daughters, regardless of age, have the equal succession rights to peerages created by writ. For 1000 years the youngest daughter has had as much righ to inherit a title created by writ as the eldest daughter. If equal primogeniture is introduced, this tradition would demise and there would no longer be abeyance since the eldest daughter would inherit the title.
Besides, equal primogeniture would not mean the ultimate equality among the genders in the UK. There would still be inequalities, such as woman's right to enjoy her husband's title although a man has no right to enjoy his wife's title, or the fact that the sovereign's sons become princes and princesses automatically by birth, while children of the sovereign's daughters don't become princes and princesses unless a special letters patent are issued.
Introducing equal primogeniture in the UK would cause such mess that, I'm afraid, monarchy and peerage could become pointless.