what are the racial demographics for the catholic church in the United
States and/or Washington state?

Hello.

Estimated U.S. Catholics in 2005:

White alone, non-Hispanic - 44,800,000 (56%)
Hispanic, any race - 29,600,000 (37%)
Black alone or mixed, non-Hispanic -  2,500,000 (3%)
Asian alone, non-Hispanic - 2,500,000 (3%)
Other or mixed, non-Hispanic - 1,000,000 (1%)
Total U.S. Catholic population - 80,400,000 (100%)

source:
Instituto Fe y Vida
http://www.feyvida.org/research/fastfacts.html

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search strategy:
"u.s. catholics" asian hispanic

I hope this helps.