I wondered if the Angles that settled England were Norse because they inhabited southern-mid Denmark before migrating to England. Therefore, are the English actually Norse?

Reason for Asking: I'm wondering how Norse the English are because they were founded by Angles, settled by Vikings (Danelaw) and settled by Normans (Frenchified "Norse-men") so they seem very Norse to me, but they're not considered Norse. Which I don't understand...?

Language Argument: Finally, the language similarities. I've tried learning Dutch and Norwegian. I find the grammar of Norwegian MUCH more similar than Dutch and there seems to be more cognates and even the Norwegian accent sounds English spoken with odd words. English has more in common with North Germanic languages than it does West.

How are the English not Norse with all these connections?