I think the biggest mis-understanding is about keeping money in the States equals residency for some reason. I think that is where we are getting a bit confused.
First, if you are all US citizens, you will NEVER lose your US Citizenship and can at any point return to the US and take up residence again. If you are green card holders, then there are some potential issues if you leave the US for a period of time, but I am assuming that is not the case here.
Second, why would you want to maintain residence in the US if you are truly not residing there? Residence is established by where you make you live, both in the UK and the US and there are certain physical presence tests to support this. Generally there are no tax advantages to maintaining a residence in the States and potentially some disadvantages if you are truly residing overseas.
There are certain UK tax advantages to those who only intend to work in the UK for either less then 2 years or less then 3 years. You should check those out.
Also, as a side note, just because a US company sends an employee to the UK to be a consultant for another UK company doesn't mean, as guya pointed out, that they are free to operate in the UK and do business, nor that your husband wouldn't need a work permit. Anyone working in the UK who is not an EU or British citizen requires some sort of visa to be able to work in the UK, even for a US company. You can get into a bit of a nightmare if a work permit is not sorted out for your husband by his employer.