I actually have no objections to testing. What I object to is the kind of testing the KS2 SATs represent - mechanistic, inconsistent and often meaningless. Take the SPaG test - yes, it tests whether children know the rules of grammar and spelling. However, it does not in any way measure whether children can apply these rules in independent writing. I understand why short and long writing were abandoned, given the marking fiascos; having said that, why were they replaced with something that was equally unfit for purpose?
Then there is the inconsistency in the quality of the tests themselves - in the year DD1 sat her SATs, the L3-5 reading paper was substantially harder than the L6 reading paper which she sat. There have also been issues with inconsistent difficulty levels in maths. Yes, you can mitigate that to some extent by tinkering with grade boundaries, but that is no excuse for the poor quality of these tests - no wonder people are sceptical.
Lastly, why are so many people so eager to accept a judgement of one piece of work on one day as a true reflection of a child's ability over the ongoing assessment over an entire year of work? The impact of these snapshot tests on a school can be devastating, and coupled with an inspection framework which is completely politicised and unaccountable, it is no wonder that people object to the current system.
I don't think there are any easy solutions, but Wilshaw's suggestion of 'more of the same' is laughable.