Your fears are unfounded, and your quickness to jump to them is unsettling.
The US and UK rely on israel playing nice in order to maintain a base and foothold in the region.
If israel did or does anything that actually threatened either nation, the soft hand would firm up quickly. But to these leaders, the genocide of brown people is little more than a minor PR problem. Not an actually threatening problem for their countries. So they see no reason to risk their foothold.
And hamas is not palestine. Any war crime committed by hamas doesnt justify the slaughter of random civilians living in the region, which is the criticism israel is getting from the entire planet.