As for hackers, they are an educated and independent bunch who know to use their brains. Those whom I know pretty much unanimously believe that Russian troops should not be in Ukraine. IMHO Hackers worldwide tend to think much more like each other than their native countries populations.
Non-technical young people are somewhere in between. In my circles they generally condemn the invasion, but that is not a given for every young person.
I'm seeing this pattern on a lot of issues that I consider blatant Putinism.
I think a good target would be to diminish the effects of propaganda. That could be hard to do, actually - for example, Putin supporters point out many things done by and in USA as examples of what is supposedly "normal", and USA doesn't have nothing like stellar record lately - be it in human rights, surveillance, invasions etc.
But education looks very important - especially if your goal not only to "fix the Ukrainian invasion problem", but also prepare for life after Putin - be it in two months or twenty years.
U.S. bad behavior is certainly not helping, but there's not an awful lot anyone can do about that. I'm looking for ways to undermine centralized power that can go viral. Less centralized power, less confidence in your invasion capabilities.