Jim,
People who wish to stay in Britain wll be granted four weeks to do so, people seeking to work there will need to acquire a work permit

Now you are just making stuff up.
UK has stated it will not stop any EU people coming and staying as long as they want.

The point of Brexit was to keep foreigners out

If you mean control migration then yes.
EU citizens can come and stay as long as they want but will not have access to benefits or the right to work. That does not require border controls.

is little Britain going to be happy to see Europeans entering their country via Ireland, as you are proposing?

Yes.