As an end goal? Perhaps, though that would be part of a larger scheme like the aforementioned great reset. It wouldn't be the goal in and of itself. More likely it's just another manifestation of the current admin playing identity politics.
No, not really. Here's the thing about the military. They have one job and one job only. Kill people and break things. Everything else is secondary. That is the reason militaries exist. Injecting woke politics into it distracts from that purpose and causes discord. Not to mention what happens when you suddenly have to worry about sorting through an infinite amount of gender pronouns fearing that if you guess the wrong one you might hurt somebody's feelings and get fired.
You ask if the "accommodation (I would say imposition) of woke ideas" has misdirected Putin. I would ask has he been misdirected? Sure, we've got lots of guns, lots of ammo, lots of planes, etc. But what about the things you can't buy? We're handing out play doh and coloring books to college students who can't handle hearing someone tell them they're wrong. We fly into a rage when someone has a "black" hairstyle without being black. We're disowning family members and physically assaulting people who don't vote for the same dipshit we do. We have people literally killing each other over McDonald's hamburgers for criminy sake.
There's more, but you get the picture. I really hate to say it, but the question has to be asked, is Putin actually wrong about us being weak?