Comments like these operate from a premise that the UK/US are some kind of global Empire that is picking and choosing where it gets involved. In some ways, that's actually true. But not true enough, unfortunately in my opinion, for your comment to accurately describe the decision making process going on within UK/US leadership circles.
I genuinely wish it were so that the US were powerful enough such that some junior staffer in the State Department could snap his or her fingers and end the conflict in Gaza.