Don't worry, this topic can relate right back into the mental game of pitching, but bear with me here.
Hitting is really hard. And having an approach at the plate is a must if you want to have any success.
Subtract hitting mechanics. I've bought into the Houston Astros approach. This approach is what I see working from 15 year olds playing JV to the best hitters on the planet. Before 2 strikes, sitting on an exact pitch. FB-middle in, or whatever it is. Looking to damage. Expecting to take a huge hack. Being passively aggressive.
To me a rollover groundout or a infield popup on the first pitch is much worse than coming up missing on 3 pitches you wanted to hit, and swung that bat with conviction.
Obviously the situation dictates what you're trying to do with 2 strikes. Move a guy over or hit a ball deep enough for someone to tag, etc... But with 2 strikes should your approach remain to sit on a certain pitch? Swing at strikes? Change from trying to do damage to your pull-side gap to the other way?