Ben Gurion had much less resources at his disposal than Churchill did and faced by far greater challenges to deal with.
Nascent Israel had no tanks, artillery, Navy or airforce. It's military force was comprised of 10,000 underground fighters, lightly armed and 30,000 auxillaries, many not armed.
It had no military industries to produce heavy weapons and there was an international weapons embargo on Israel. Israelhad no allies and no other country help in its struggle.
In the beginning of WW2 Brittain was an empire with the strongest Navy in the world, a capable airforce, tank divisions and a well trained military. On top of that the militaries of Canada, Australia, New Zealand and South Africa were under it's command. The British military industry was well advanced to match produce anything the enemy had.
From day one of its Independence Israel was invaded from all its borders and attacked from air and sea by well equipped and trained armies of 7 Arab countries with a combined force of one million troops. Adding to that Arab violent gangs and hostile Arab population was inside Israel proper participating in the war.
In contrast British borders were never penetrated by the enemy and it had many allies so such as France, Belgium, Poland, Yugoslavia, Greece, mighty Soviet Union and even mightier United States.
Its enemy Nazi Germany had greater challenges having to fight on multiple fronts against the greatest powers at the time and facing resistance movements in occupied countries.