And you're sure that this formation is the only one in their repertoire and they use it all the time?
Sarcasm aside, this view that the Normans would cakewalk the English in any engagement is rather tiresome. Yes 1 on 1 they were better, yes the English didn't use cavalry much, but it's not like their techniques were a surprise to the English, nor that the English hadn't worked out strategies to deal with it. Not everyone died at Hastings.
Did I say a single word about "cakewalk" or "any engagement"? There is no need to stretch things to an absurd extreme.
As far as we are talking about the battles (not skirmishes, ambushes, etc.) the Saxons had been using pretty much the same fighting style as the contemporary Scandinavians or the Russians of the time of Prince Svyatoslav (by 1066 they changed due to the need to deal with the nomadic neighbors). And the
pattern (which does not mean that there were absolutely no exceptions) is the same. Svyatoslav lost to the Byzantines at Doristol, the
Varangian Guard had been defeated by the Normans in the
Battles of Olivento,
Montemaggiore (1041) and
Dyrrhachium (1081). The issue was not a surprise (definitely not the case as far as the defeats in the Southern Italy or Dyrrhachium are involved; the Normans and their tactics had been well-known) but an absence of the necessary tactical tools: combination of a cavalry and infantry (including the archers/crossbowmen) allows for a much greater tactical flexibility than one which is possible in an army which is 100% infantry armed with the battleaxes and short spears and taught to act as a single phalanx or, as an option, in disorganized groups so bent on a headlong attack that they don't see what happens around them (Hastings and Dyrrhachium). None of these options proved to be successful against the Normans but I'd be really interested in learning about some other, more successful, methods from their OTL "repertoire".
Could something be done about the situation? Sure. You just need a military leader capable to jump from a shield wall to the Swiss pike column (or Scottish rectilinear schiltron capable of attacking) and you have a very good chance of a victory in a battle (Norman archers circa 1066 were not as effective as the English few centuries later). However, if we are talking about the OTL England, the options simply were not there.
You can actually be successful even with a phalanx-like formation (as a shield wall) but for that you need an idiot being in charge of the other side because otherwise you are risking to get Rosebeke instead of of Courtrai.