The UK's relationship with the US will not be impacted. The recent preferential trade agreement between the US, UK & Aus has not been downgraded, no one in Congress is up in arms.
The Anglo-French cooperative projects listed are very specific and build on what is already being done (A400, Carrier Alliance, CAMM, A330 tanker fleet etc.). See official Gov summary:
http://www.number10.gov.uk/news/sta...on-on-defence-and-security-co-operation-56519
The nuclear deterrent partnership concerns warhead testing / simulations, both France and the UK build their own anyway. UK submarine design is largely homegrown and they already incorporate systems pioneered by French companies such as Thales. Recent US intervention was focused on the cad-cam system and new build methods (vertical, not horizontal). Any Anglo-French activity is not going to stop the Yanks selling Harpoon or Tac-Toms to the UK.
BAE is pushing hard behind the scenes to ensure its UCAV/UAV programmes remain viable, so is Dussault, hence they are as happy as Larry about the recent announcements. There is no way in hell BAE would compromise its huge market share in the US for the sake of working with the French unless such activity was given the nod by the US Government. That would be like exchanging a brand new Rolls Royce for a Fiat Pinto.
Any extremely sensitive US/UK proprietary programmes will be silo'd, the same way echelon/NSA/GCHQ intelligence is currently silo'd (to which the French are still not privi).
The US has complained about Europe not pulling its weight, the new UK/French expeditionary force brings added clout and supports an interventionist stance, something the US should be over the moon with.
The F35 issue has always been contentious even before the announcement. For one has the source-code issue been finally sorted, or does LM still plan to retain all sensitive proprietary information?
The UK is not NZ, it remains the US's number one partner and supporter, no other NATO member has shed the same amount of blood and treasure (GWI, II & A-Stan). The French tie-up would have been dead in the water if the US behind the scenes had announced a down grading of the relationship (intelligence cooperation, weapons sales etc.). France has come along way since Chirac, they are now back in NATO hand in glove.
On the flip-side though there is another driving factor for the sudden strengthening of ties, many in the UK Foreign Office consider the current Obama administration as being weak, particularly on foreign policy, plus the US economy remains in deep, deep trouble. Some believe this marks the beginning of a period long-term decline and the days of it being the only hyperpower are numbered. If the US, through financial pressures or a new isolationist stance retreats back into its shell, then the UK, France and others will have no choice but to jointly strengthen interoperability in the face of a rapidly expanding and greedy PRC.