The anti-illegal right has a problem:
Some votes are likely to draw scrutiny, particularly a series of votes in the 1990s against cracking down on illegal aliens. Those include a 1995 vote against limiting services other than emergency care and public education to illegal aliens he was one of just six senators to oppose that proposal and a 1996 vote against creating an employer verification system to help businesses filter out illegal aliens who apply for jobs.
Ambers has more on Thompson's legislative record on immigration. It looks to me as if the Washington Times is right.