People like you (the “Native English” as you put it) are assuming if a woman living in Britain is Muslim and wears a Burqa/Burqua/Burka/Hijab she isn’t English/British.
You might be one of the extreme “Native English” (members of the National Front, BNP, EDL) that have decided if a person isn’t of “indigenous English stock” they have no right to be here.
If you are an extremist I have no interest in your views, however if like me you believe if a person was born in England/Britain or has lived here the vast majority of their life (from a young child) they are as British/English as I am (I’m English born as are at least several generations of my family).
There are British born Muslim women who choose (yes choose, not forced) to wear an Hijab for religious reasons, just like British born Cristian woman choose to wear a crucifix around their neck.
You can disagree with the concept of a Muslim face covering, since there’s a significant number of woman around the world who wear a Burka that are forced by their husbands and male members of their family to maintain a face covering.
However you can not in a tolerant society like ours ban an item of clothing that causes no harm to that society, it has not been shown to be a serious security risk: I’ve not seen a string of bank robberies or terrorist acts performed by veil wearing woman!
If there’s a good reason for banning something like genital mutilation which occurs in some countries around the world then absolutely ban it, but a Burka does not fall into that category.
You can not ban a veil because you don’t like it!