I use this section every day, and I've often pondered this. At the Bow end, the tight climbing turn to the level of the GEML runs along a single track trace next to the link between the GEML and Limehouse on LT&SR. Presumably the gradient reflects that the DLR's predecessor passed north under the GEML heading for Old Ford(?) (
https://www.google.co.uk/maps/place...9bafdae50f09e50!8m2!3d51.5340081!4d-0.0133586)
Doubling the DLR would mean building a second track south/east of the existing alignment, which would appear to require land take from gardens in Hartfield Terrace and Fairfield Road. Given the grass growing through the rails, I wonder how often this link is used? If it isn't used very much, would it be feasible to have a short section where it dual electrified (like Thameslink), minimising the additional land required.
The link is used by a handful of ECS moves, some Christmas specials, and most significantly as a diversionary route, so simply handing it over to the DLR completely is not realistic.
Dual electrification is typically cited as expensive because things need to be double insulated, signalling needs to be immunised, etc. I don't know if this line is a track circuit area, but if so they would also be complicated.
The DLR does not currently share track with any other network, and there are three key things that would need to be sorted before it could:
1. Electrical compatibility
2. Gauging and infrastructure
3. Signalling
Looking at them in a bit more detail in turn:
Electrical compatibility - see above about complexities of dual electrified sections, but 25kv AC and 750v DC occur on the same stretches of railway in several places around the country so electrically I don't see any issues other than cost (but see next section).
Gauging and infrastructure - DLR stock is squarer that mainline stock, but similarly sized, and happily reuses old mainline infrastructure and runs parallel to NR metals, so the main bit of the train body is unlikely to cause significant problems, particularly as there are no tight tunnels or overbridges on this section AFAICR. However, the DLR uses a raised, bottom-contact third rail that stands about 2ft above rail level and the trains have a corresponding projecting pickup-shoe at this height. You would need to ensure that these do not foul the gauge of mainline trains - my guess would be that AC only units might be OK but units with conventional third rail gear would very likely not be.
Signalling - this is likely to be the biggest problem. DLR uses the SelTrac moving-block TBTC (Transmission Based Train Control) system. This is likely incompatible with the signalling system used on the rest of c2c.
Also, the DLR is driverless and fully automated in normal operation. I suspect that this is also incompatible with NR's present operations.