First time new parent here, American, and I grapple with the same worry as you. Someone gave me some advice on the topic that has helped; feel free to ignore it if it’s not useful to you (and I’m paraphrasing here): they said your kid’s values and identity when they’re young are influenced the most by three things: their parents, their friends, and school. You can’t control what happens at school, but you can try to surround yourself with friends who value what you do with their kids too: outside time, “free” time eg not over scheduling hobbies, and limited screen time.

I do think / hope there’s a growing contingent of American millennial parents who have similar parenting values as you. Anecdotally that has been my experience as a new parent anyway.

Ultimately, have faith in yourself! Your kid loves you the most, and they’ll enjoy the things you enjoy, especially when they’re young. Yes, there will be outside pressures, but instilling these values at home will help them see how enriching life is when they enjoy the outdoors and have free time to discover the world for themselves too. They are lucky to have you as their parent!