I wouldn't think you need something specific for America just because of the historic reality. A small efficiency bonus should be achievable for any nation building several vessels of the same class in the same shipyard. The Germans and their U-boats (which actually is historical) or if the UK or USSR decides to go heavy Navy to challenge the USA in a non-historical game.
Also, to go more into why I think there should be a small efficiency bonus, historically the US chose to keep building the initial post treaty designs like the Cleveland and Baltimore despite them having some flaws (the Cleveland was top heavy and had stability problems) or having better designs coming on line like the Des Moines with it's auto-loaded 8" guns because they could get more hulls in the water faster by continuing to build the older designs than if they shifted to building the new designs. If there is no efficiency bonus for shipbuilding then there is no reason not to switch to the more modern design immediately. No different than tanks and aircraft really.
I'm happy with a small efficiency bonus, but I wouldn't mind something more concrete than the evidence provided for it at this stage. So far, it's mostly assertions - don't get me wrong,
@bcoop1701, I appreciate your wealth of knowledge, but I think if we're going to have some kind of bonus, we need to have an idea how large it is, and how quickly it appreciates, and how many vessels are involved. We definitely don't want something (well, from a historical plausibility perspective - could be fun if we want mega-navies

) like the HoI3 practical bonuses, which had CAs pumped out in less than 12 months.
Anyways, I had a gander at some production times in a bit more detail, and I'd say there's some evidence for a small production bonus for large classes of ships:
- Looking at the Type VIIC, I took 10 boats constructed shortly after the outbreak of the war, and 10 boats constructed in 1942-43. The average construction time for the earlier run was 358.7 days, and the average time for the second run was 355.3 days (and this was excluding one 700-day U-boat that clearly had some kind of disruption during its construction), but by 1942-43, it's likely that allied action was proving disruptive to u-boat production, so just taking an average isn't necessarily the best measure, as the second run had a four vessels produced quicker than the quickest vessel in the first run. Looking at medians, we get a median time of 353 for the early run and 330.5 for the second run, which is a six per cent advantage. That probably understates things a bit, but it'd be nigh impossible to disentangle the various impacts of supply chain disruptions, direct attacks on production facilities and what-have-you.
- Looking at Essex class carriers, the six ships finished in 1943 had an average completion time of 559 days, while the seven ships finished in 1944 had an average completion time of 495 days, a difference of 11.5 per cent (I left out the one ship finished in 1942, as it was laid down in April 1941, and so may not have been subject to the same urgency as the carriers built almost entirely during wartime - it took 50 more days to complete than the 1943 completion Essexes).
Along those lines, I'd say a 10% cap on efficiency (as per the suggestion by
@GermanPower ), but that it'd take a certain amount of vessels and a certain amount of time before it kicked in. Maybe five vessels for capital ships and ten for smaller vessels, and the time being around half the production time of the vessel? Just throwing ideas around, and no idea how easy it'd be to mod in.
I don't think the US needs a special boost.
Just give her an appropriate number of shipyards and be done with it. Since shipyards are an abstraction anyway...
The US did build their ships very quickly (I haven't crunched the numbers, I've done enough of that this morning already - happy to if you want more than something based on a vague hunch - which is not the strongest thing to base anything on!), and a bonus to construction speed is a bit different to more dockyards, but I'm not dogmatic about this or anything, just throwing ideas around. The US did have arguably the best production methods in the world at the time, and without some way of approximating this via tech, something else (like the strategic resources in HoI3, which gave the US a boost in ship-building, IIRC) could cover for it. It's no biggy either way.