Will the usa and uk ever allow citizens to freely move and live in one anothers country?

No, why? Two foreign countries with no ties to each other.

because of the EU you are almost free. im a UK citizen, and EU members are able to move in to the UK. people from the UK cannot just move into the USA, they too need a visa and work permit. all countries monitor their immigration levels. please do research before asking questions like this.

NOT in our lifetime. We in the UK are part of the European Union and, like all citizens of member states, can live and work anywhere in the EU. I have lived in France and Germany. Who needs the US ? Brothers? Maybe with the Canadians, Australians etc.... but with the US? I have family in the States. They have married into families of Lithuanian, Croatian, Swedish and Norwegian origin, HARDLY our Brothers?! Love them, but dislike their system and, of late, married as I am to a non religious Muslim, their ISLAMOPHBIA. How can you fall under the spell of a failed experiment in nation building, with its racism (STILL) , drugs, guns, crime and people in fear of loosing their health care?! The US would drop us like a hot brick, when it comes to their own advantage. Special relationship? LOL. You want out? Go to CANADA !!!

Nope -- and I wouldn't say brothers -- I would say cousins. So just like you can't just normally move into your Aunt and Uncle's house without permission, we can't move to the UK without permission and vice versa -- but we would love to have you. We love our Brits that live here -- they class the place up:-)

Given that the US fought a war so that it wouldn't be part of the UK, it's doubtful. We are two separate nations for good reasons.

Hope not.

we dont need any more in the uk we are full to the rafters so my ans is no

I hope not, when you have your health and wealth the US may sound good, but remember the US is world leader in self promotion.