Er, wet, possibly and yes!
With a bit more detail: in the wet, you will get wet, how much very much depends on the type of Westfield and how it's been put together, but even the best fitting hoods etc aren't entirely water tight, so you will get odd wet patches in really, really bad weather.
Essentialy there are two extremes of wet weather adaption, most of us fall somewhere between.
1. Full weather gear with some re-finishing/modification for improved fit and sealing. Lots of attention to detail at the build stage with the sealant, keeping the cockpit as water tight as possible, ditto making sure electrics and electronics are installed with a view to wet weather performance and using contact grease like Contralube in ALL electrical joins etc to keep out moisture.
2. Remove windscreen and all soft trim, use plastic shell seats with neoprene pads, use IP rated switch gear on dash, and IP rated instrument(s). Drill strategic holes in floor and seats for water to escape. Same process as above of protecting the electrics. Locate electronics in dry spots or consider IP rated enclosures if necessary, (unlikely, but it's an option). - Essentially, build the car so that it can get drowned in rain without being harmed!
With option 2. In bad rain, use all in one rain over suit, motorbike style, along with full face helmet.