Five years is not a lot of time to get what you are asking for done. I can get the ball rolling, but I can't get it done in that time frame.
I can break down my proposals by objectives:
Manned spaceflight to the moon
This is probably the easiest to do, and could probably be done in 5 years. I'd pull from a 1993 proposal called
Early Lunar Access. While I don't have a shuttle to complete on-orbit assembly of the stacks at the moment, I can get away with ROBOTS for the uncrewed launches. Presume European buy-in and get Ariane Vs as alternate launch vehicles for the transfer stage (probably DCUS not widebody Centaur).
Establishing a Lunar Scientific Base
This will require heavy lift, and development of advanced landers. Masten likely gets a big contract to make
XEUS work.
Best way to help with resupply is to simply offer to buy supplies on orbit at a specified price (Say 2000 USD per kilo of Hydrogen delivered). Great way to leverage commercial development. Both ULA and SpaceX should be able to deliver.
Improving launch vehicle designs
In many ways, this is the opposite of what you want me to do. Blue-sky development might result in revolutionary development, but that's more than 5 years out. I'd probably fully fund SLS and get payloads for it, as well as Vulcan (with a Vulcan Heavy version) and ACES. Crew launch via Atlas/Vulcan via CST-100, HL-20 derived, and Dragon v2 is a must.
Research into long term habitation offworld
Build the
Centrifuge Accommodations Module, and the large inflatable centrifuge for ISS. Deploy such systems on independent stations if needed.
Developing orbital manufacturing capacity
Building what? Are we talking microchips and super-pure materials, or are we talking structural beams for orbitals and solar power plants?
"I believe in the future. It is wonderful because it stands on what has been achieved." - Sergei Korolev