In the case of the skilled woodworkers the Mosquito needed - years. The only way you're going to increase Mosquito production is to exploit furniture makers in the United States. Not necessarily a bad idea, mind - the Mossie was a lot better than American attempts at wooden aircraft!
Engine counting applies here. Rolls-Royce and Packard can only produce so many Merlins; assuming that the skilled workers can be found, you can only produce twice as many aircraft. Which means twice as many pilots and navigators, though a lot less air gunners. Guess which ones are more expensive and time-consuming to train?
Then it's not a Mosquito any more. It's an entirely different aircraft, which runs the risk of losing all the Mossie's virtues whilst retaining its' vices. If you're doing that, throw the whole lot out and design an entirely new all-metal high-speed bomber.