That's their point though. The current winners know they wouldn't be the first choice if we had a system that allowed honest voting. It might save them against republicans, but it gives progressives even more of a chance.
EDIT: Also sure, if Palin voters would've voted strategically their side might've won. I'm not sure if it's because they fell for the trappings of FPtP, because they were unwilling to vote for a moderate and thus bet on the wrong candidate etc. But voting for the non-incumbent as their first vote would've been safer as it'd allow them to still be a Palin voter if Begich lost in round 1 as he did. I don't think the situation is terrible, as under FPtP the only strategy would be for Begich voters to vote for Palin (full stop) which clearly they didn't even want to do as their second choice.