Simple answers to this:
1. Obama directly effects American lives, Put in does not write active order undermining the constitution
2. Put in did not double our debt, Obama did
3. Put in did not cause our health care premiums to rise(high tax), Obama did(with the help of congress).
4. Put in is not opening our boarders and allowing millions of illegals(many criminals) to flood into the country. Obama did.(along with the last 3 Presidents before him)
5. Put in is not supporting H1B worker visa's to replace our college educated tech workers, Obama is with the support of both parties.
In short
the same reason they like Putin over Obama, is the same reason people like a winning team thats not theirs.
Also
Pu tin in ever meet with Obama comes off as a man, were Obama looks like a kid.
People like Strength, or at least leadership that does not come off as weak.
Trump is quoted as saying back in March "i would punch Pu tin in the mouth", in regard to Put in possible building bases in Cuba.
Put in response was "Trump is a bright guy", Pu tin folding on that subject
Alpha males respect alpha and know the difference between a statement and an actual threat.
BTW:
Obama has a higher positive rating then the congress, which is Republican.
Why?
Simple, the majority(for the moment) of both Dems and Repubs in congress are owned by special interest. Thats why nothing gets done and why each party stone walls half the time if the other has the Presidency.