Since there has been a lot of beating up on Rudy Giuliani on the abortion issue, I thought it was only fair to bring up the Congressional National Political Awareness Test that Thompson took in 1994.  On the subject of abortion, Thompson checked the following box:

Abortions should be legal in all circumstances as long as the procedure is completed within the first trimester of the pregnancy.

Now he also check the box that indicated Congress should leave legislation on this issue in the hands of the states, which would tell me that he is in favor of overturning Roe, but that is inconclusive.