>I wonder if it is possible to both be politically “unbiased” and maximally truth seeking.

In principle yes if you're in a polity where the entire political spectrum broadly accepts scientific base consensus, idk in practice maybe in Singapore?

In the US, although the number has been declining, almost 4 in 10 people are young earth creationists and believe the planet is less than 10k years old an din that case the answer to your question is probably, no.