Here's some info that may lead to teasing out the White House's position.
http://socialistworker.org/2010/05/19/thai-army-prepares-to-crush-protestsby Giles Ji Ungpakorn (Thai dissident leader)
<snip>
This is a class war. But only the naïve believe that class war is a simple matter of rich against the poor. The Red Shirts represent workers and small farmers. They are the people who have created the wealth in Thailand, but they have not been able to enjoy the benefits. Thailand is a very unequal society.
The hopes of the majority were raised when millionaire Thaksin Shinawatra's Thai Rak Thai government offered a universal health care scheme and pro-poor policies. They were inflamed when the elites stage a coup against this elected government in 2006. Now they are standing firm and facing the armed might of the ruling class.
For the above reasons, the Red Shirt protest in the center of Bangkok is legitimate, even if it disrupts commercial life in expensive shopping centers and luxury hotels. Anyone who believes in democracy and social justice should support them.
<snip>
and here:
http://www.democracynow.org/2010/5/18/debating_the_crisis_in_thailand_is