Were the Jutes a proto-Viking people seeing that they came from Jutland, Denmark? Even if they weren't, surely the people who became Vikings knew of those mobilization of people/raiders to Britain, so why didn't they join in?
I've read one theory suggesting that as Charlemagne's empire expanded it put pressure on the Scandinavian people which resulted in them going Viking to try and find land and resources elsewhere.
Is it just as simple as people like the Goths or Vandals or whomever putting pressure on the Anglo-Saxon people which caused their migration and that the Scandinavian people didn't feel that pressure until a few centuries later and thus had no impetus to go to Britain?
I'm not sure I understand your question; Are you asking why other Scandanavian peoples besides the Jutes didn't migrate to Britain along with the Angles, Frisians, and Saxons following the pullout of the Romans in the 5th century?
Because, in answer to the title of your post, the "vikings" most assuredly did invade Britain and settled extensively from the 9th century, controlling large parts of the islands (the 'Danelaw').