"Regulation and bureaucracy - I mean be able to determine what levels of corporation tax, financial regulation, employment legislation, who we make deals with, what type of foreign nationals we accept (we want skilled)"
We do have the power to set any coporation tax we want, within reason, but this is also covered in WTO rules.
Financial regulation will be down to what can be agreed with other parties, because finance is global, we won't be "setting" anything.
"Who we make deals with" - well we are looking to replicate all of the deals that the EU currently have, but will get worse terms.
"what type of foreign nationals we accept (we want skilled)"
Nope, the number of visas will be part of any trade agreement, again it will be agreed, not set.