Don't assume that VMKit is faster than OpenJDK; LLVM is powerful but it's not magic awesome sauce (see Unladen Swallow). Also see GCJ.
Sounds faster than the Java I know.
The Sun JVM is pretty well tuned. A lot of people have a lot of money riding on top of it performing well. There is room for improvement (see Azul) but I would be surprised if a FOSS project would break much ground without major commercial backing.
Static compilation would have a lot of benefits for short lived programs. I know IBM's i OS (OS/400) used to use statically compiled Java and was quite a bit faster than that era JRE, but it's somewhat cloudy as the whole machine was quasi-VM with the MI level. Not sure if they retained this but it would be interesting to compare now days to i.e. HotSpot in Java 7.