I've never actually attempted to reduce noise level in a R4 before so I'm guessing a bit.
An engine will generate noise in 2 ways:
First is structure borne noise: vibration transmitted through the mountings into the car structure will excite the panels around the cabin which radiate into the cavity. This might be booming noise or mid frequency noise (general racket that makes it difficult to hear people speak).
The Renault 4 panels are very thin so have a fairly high primary resonant frequency. Adding damping to them will reduce general racket but increase booming as the extra weight will reduce the resonant frequencies of the panels.
Second is radiated noise from the engine (the stuff you hear when standing beside it). This finds it's way into the cabin as airborne noise through holes, and also directly through steel panels and glass, much in the same way as light would pass through something that is very slightly transparent.
This noise tends to be mid to high frequency. Good sealing is very important. Noise absorbing materials (felt or open cell foam) can reduce the source by stopping the noise from bouncing backwards and forwards in the engine bay, and also it can be very effective inside the cabin - stopping noise bouncing around in there once it's made it in. It will give the feel of the car more of a "dead" character than a thin tinny rattly character.
For noise radiated off the panels (whether the panels are directly excited by radiation of through resonance in the structure) Damping can be very effective, but it takes a lot of development to work out where to put it without causing the panels to boom.
To stop noise radiating off panels they need to be prevented from exciting the air inside the cabin. A sheet of rubber held off the panel by foam will not radiate nearly as much noise in as the panel by itself. The R4 floor covering is already rubber, so a bit of foam underneath the covering works well, just leaving the bulkhead to tackle.
For less technodrivel and a bit more practice see
http://www.renault4.co.uk/gordini-soundproofing.htm It's not on the road yet so no testing.
I've yet to decide how/if to treat the bulkhead on my project. I'll get the car on the road and do a bit of testing to see if I think it would be nicer with something on the bulkhead.