those laws require due process. the american immigration "charges" are not tested by courts. They are executive actions, that might be challenged if you are rich enough.
The UK does not have "hate speech" laws. It never had, anyone who tells you otherwise is pulling your leg. What can happen is you can ask for a more harsh sentence if there is "hate" involved. Yes, you will have heard of cases where someone was simple "just a bit racist" but thats moreoften than not an aggravating factor.
