The NATO response has very very much been calibrated for three things: 1. Do not send NATO troops to defend non-NATO members (with caveats, see Sweden/Finland). 2. Damage Putin as much as possible, within the constraints of the previous point, and 3. Try to give Putin a way out (again, complicated because different members have been less confrontational than others, but this has essentially been the theme).
I'm sorry, Gary Kasparov might be good at chess, but he does not understand geopolitics.
I believe he’s demonstrated for years that he does understand Putin, however, and predicted this scenario long in advance.
So you may feel his advice is bad, but it’s also possible, even likely, that we have no good options and his is the most likely route to something resembling peace.