Vipes you are clearly not a sharing, caring individual! The park is rather large and traditionally people use public spaces to exercise their dogs, there are clearly set out spaces for both dogs and humans.
This, as usual is typical of moany Londoners. Just like the alcohol ban on the tube you have come up with a knee-jerk reaction solution to a problem. These solutions are ill thought out and only put a band aid on the effect rather than treat the cause, at the same time persecuting all the people that treat the park and others responsibly.
If you looked to come down harder on the people who do not treat and train their dogs correctly this would be far more beneficial than treating all dog owners as criminals, segregating them to a clearly inferior park.
I hope people like you never come into positions of power, it's scary!