The second poll is not about world peace, but about democracy. Historically, the US has been promoting democracy worldwide (and this has been a major contributor to their belligerence). With their ongoing schism between MAGA and WOKE, there is a risk they will end up non-democratic themselves, either as some kind of facisit or socialist.
THAT, and the fact that this conflict is being exported to other democratic countries is a threat to democracy, although not so much to World Peace.
2013 was before Russia's first hostilities against Ukraine and also before China started to flex their military muscles. Also, at that time, the Obama administration was involved in several wars as well as the use of drone warfare against their enemies elsewhere. I don't find it surprising that many would feel that the US was the greater threat at that time, even though the threat level overall was much lower at the time.