Is it legal to move an existing business from a UK Limited to a US LLC?

I run a UK Ltd generating millions of dollars a year in sales to the US. We are losing money from currency losses and have issues paying state sales tax in the US. It seems like a good idea to open a US LLC and move all assets to the US LLC instead of continue running under a UK Ltd. Is it legal to simply open a US LLC and move all activity and assets to this new entity? It seems like it shouldn't be so…