Russia has no interest in going to war against NATO, or Poland, or other European countries. Their only goals, which are obvious to anyone who looks into the situation, is to take the eastern provinces of Ukraine, prevent Ukraine joining nato, and stop ukraine from having nuclear weapons.
They have similar ideas about Moldova and the Baltics. The intense militarization within the Russia is not going to end anytime soon - we've seen this play out in Germany 90 years ago, why do you think this time will be different?
No they don't. Why didn't Russia do anything when the Baltics were in the process of joining NATO? If they had plans for them, they were going to do it before they joined the biggest defense alliance.
If you think this is like Germany 90 years ago, I recommend you read up some history.
The Baltics joined NATO in 2004 when the Russian economy was less than 1/4th the size of what it is now and Russia had just come out of the economic chaos of the 1990s. Their armed forces were also deeply dysfunctional and underfunded back then and struggled against pockets of Chechen separatists.