I didn't see the interview, but from quotes on another thread, I gathered that federalism was the core of his problem with Roe, as it is with many conservatives. If he actually supports the "right to kill inconvenient offspring", that is a big mark against him, though perhaps not a fatal one when he's up against this bunch of RINO's.
Thompson’s votes show he doesn’t believe in pure federalism on abortion — he voted for a federal ban on partial birth abortion and federal limitations on use of human fetal tissue.