The more realistic way to watch how the world is valuing the US dollar (which should show up in the US dollar gold price or US dollar silver price) is to watch the broad dollar index rather than the US dollar index. The broad dollar index is saying that the world is valuing the US dollar less than many who go by the US dollar index believe.
US dollar index (click on graphic to enlarge)

Weightings of the US Dollar Index:
Japan/JPY = 13.3%
Europe/EUR = 16.3%
Canada/CAD = 17%
Mexico/MXN = 10.4%
UK/GPB = 4.3%
China/CNY = 8%
Hong Kong/HKD = 2.6%
Malaysia/MYR = 2.4%
Other = 25.8%
Broad dollar index (click on graphic to enlarge)

Weightings of the Broad Dollar Index:
http://www.federalreserve.gov/pubs/bulletin/2005/winter05_index.pdf
Euro = 18.8%
Canada = 16.43%
China = 11.35%
Japan = 10.58%
Mexico = 10.04%
UK = 5.17%
Korea = 3.86%
Tiawan = 2.87%
Hong Kong = 2.33%
Malaysia = 2.24%
Singapore = 2.12%
Brazil = 1.79%
Switzerland = 1.44%
Thailand = 1.43%
Australia = 1.25%
Sweden = 1.16%
India = 1.14%
Philippines = 1.06%
Israel = 1.00%
Indonesia = .95%
Russia = .74%
Saudia Arabia = .61%
Chile = .49%
Argentina = .44%
Colombia = .41%
Venezuela = .30%
A long long term chart (since 1971) of the broad dollar index is saying that the long long term uptrend of the US dollar has been broken to the downside:

What is interesting is that the broad dollar index topped out at just about the same time that the gold and silver bull markets were putting in long term bottoms.
Gold and silver? "Get it while you can." - Janis Joplin