As long as UK buys 3 units to use on UK 1 they should do enough damage to G.
You kinda have to buy a DD sice Ger has subs, so I like the 1 DD, 1 sub, 1 trn. This allows UK to attack with:
2 trns, 1 sub, 1 dd, 3 ftrs, 1 bom, 1 bb
So you are looking at 4 hits to 5.
Ger loses 2 trns, 1 sub in rd 1 and UK presses on with 1 dd, 2 ftrs, 1 bom, 1 bb vs. 2 subs, 1 dd, 1 ac, 2 ftrs, 1 bb
So, 3 hits to 4.
UK retreats BB to sz 8 and places new trns there and can land in Nor on UK 3.
US cleans up 1 ac, 2 ftrs, 1 bb with 2 dd, 5 ftrs, 1 bom (if you bought 1 ac, 2 ftrs on US 1). You can even bring in the 2 trns or go right to Alg or Nor or stand pat.
Then benefit of letting them unite and then killing them is, not only do you kill both fleets in rd 2, but you also take down 2 G ftrs.
With some UK moves in the Indian ocean you can still counter Egy on UK 1 and you have enough inf in the middle east to prevent Ger from blitzing around.