They're the same, +new Date doing an implicit cast to number. I prefer getTime as well for its clarity.
I did this while optimizing performance of a fast-paced game in Javascript (LineRage). Profiling showed that getting timestamps was responsible for significant portion of the processing time. I also ended up switching to a global clock approach.
Unfortunately I no longer have the original benchmark code/results. Would be happy to have someone replicate it.
var I = Number(new Date);