Tamiya do indeed produce enamel paints. I recently ordered some XF-2 flat white, and is clearly labeled on the bottle as being enamel.
Tamiya acrylics aren't true acrylics, though they can be thinned with water. There is something more potent in them that makes their paint more resilient, most western merchants refuse to ship by air, and will not mix with other acrylics out there (or at at least the ones I have tried: Vallejo, Andrea, and LifeColor). Conversely, try using Tamiya acrylic thinner on these acrylic paints, you end up with a gooey mess.
Back to painting the figure, I think you should be ok if laying down solid colours, as I don't know how the technique goes if blending shades right on the figure. Once done, give it a flat spray, that too should help tone down the intensity of colours.
regards,
Jack