Yes, any time you make a decision which treats people differently on any basis, is it is discrimination.
What you probably mean to ask is whether it is illegal discrimination. For which the answer is more complicated. It doesn't seem to be directly illegal discrimination, unless “into the same things” itself directly involves protected characteristics like religion. But it could still be illegal as disparate impact discrimination [0], if it has differential impact on a protected axis without sufficient business necessity.
[0] https://www.shrm.org/resourcesandtools/tools-and-samples/hr-...
Your state may have a specific and more restrictive law, but you are free to be as discriminatory as you want until you have at least 15 employees (under Federal law).
https://www.eeoc.gov/employers/small-business/small-business...
I have never found any source remotely close to it but it would be nice if we had a revision history on laws so we could see who added what lines and why. I'm guessing it is out there in some official record.
Back to the spirit of your question; it is legal discrimination. Frankly I support your ability to hire who you want at your company within legal bounds. I also support teams hiring people who will go to the pub so shrug.
You could probably get away with it. Would you feel good about yourself? Would you feel pissed if you found out that you didn't get a job you really wanted, only because another company was trying to fill out their rugby team?
Also, whether I trust them or not does not seem to matter according to your sibling comments.