Decided I'd take a crack at this.
I copied the following from the FTV to the same locations on the OUYA (I also changed the build and version in build.prop):
/data/app/org.chromium.content_shell_apk-1.apk (chmod 644)
created directory /data/app-lib (chmod 711)
created directory /data/app-lib/org.chromium.content_shell_apk-1 (chmod 755)
/data/app-lib/org.chromium.content_shell_apk-1/libcontent_shell_content_view.so (chmod 755)
/system/app/WebCryptoTZService.apk (chmod 644)
/system/app/WebCryptoTZService.odex (chmod 644)
/system/lib/libwebcryptotz.so (chmod 644)
/system/app/AmazonApps_420005110.apk (chmod 644)
/system/lib/liblatency.so (chmod 644)
Still just hangs on the Netflix loading screen. Logcat says "W/ActivityManager( 324): Unable to start service Intent { act=com.amazon.tz.webcrypto }: not found".
LOGCAT
Ideas?