Are we allowed to use that, then? I.e. multiply all £ amounts by that factor on the return?
That doesn't seem to be how the IRS sees it.
Have a look at Pub. 54, "Tax Guide for U.S. Citizens and Resident Aliens Abroad":
"You must make all federal income tax determinations in your functional currency. The U.S. dollar is the functional currency for all taxpayers except some qualified business units (QBUs). ...
"Make all income tax determinations in your functional currency. If your functional currency is the U.S. dollar, you must immediately translate into dollars all items of income, expense, etc. (including taxes), that you receive, pay, or accrue in a foreign country and that will affect computation of your income tax. Use the exchange rate prevailing when you receive, pay, or accrue the item."
It's a lot more hassle, yes, but unfortunately it doesn't sound as if it is up for debate.