Plus if miles are important to you LAX-DFW-ANC-ORD-LHR would be better done as LAX-ORD-ANC-DFW-LHR.

Even better if you can do SYD-JFK and LAX-LHR with wherever you actually want to go in the US in between.

Stopping over at all the same places (but in a slightly different order):

TLV-xLHR-SIN-HKG-DEL-NRT-PER-DRW-ADL-SYD-JFK-DFW-ANC-ORD-LAX-LHR-TLV is 52169 miles vs 47514 in your original (invalid) itinerary.

This could be fine-tuned further if you don't actually need to stop over at all those places.