Is a 1h 5m layover at Schiphol Airport in Amsterdam too short

Well in theory the airlines wouldn't schedule it if it weren't possible but......
Is there another flight to your destination later that day, or will you have to wait 'til the next day if you miss your connection?
Will you be flying in a premium cabin and able to be among the first off the plane?
Are you checking bags?
I'd be far more likely to take a chance on that short connection if I were returning home, but would not if it were the start of my trip.

We just flew back from Bilbao through Amsterdam to the States with an 1 hour and 50 minutes transfer time. I thought it would be plenty but then passport control had 30+ minute delay. Long but fast moving line. We still had plenty of time but after that experience I'd be hesitant to book a 1hr 5m connection. (Normally I wouldn't worry about anything the airline sold me.)

Good luck!

You will have to go thru passport control at Schiphol when you transfer from a flight from Luxembourg to a flight to the USA, because you will leave the Schengen zone at Schiphol.
The minimum connection time at Schiphol for Schengen to non-Schengen flights is 50 minutes. Your connection time is 65 minutes, so you should be okay. But I do suggest to not stop anywhere to shop etc, but to continue straight on to your gate.

It's doable, but.........
If possible, try for another connection to build in an additional hour just in case. If the next flight out isn't until the next day, then don't stop for anything between planes.

I have gone through AMS on the way to the states a dozen times. It took me anywhere from just under 1 hour to 1.5 hours gate to gate, and there is no way to predict in advance. Even if you made it in 45 min, you would be among the last on the next flight. Any carry-on? Then odds of checked bags making it? Coincidentally my flights are to Austin.

many recent conversations on this topic, here's another recent inquiry that includes my answer to your question: https://community.ricksteves.com/travel-forum/general-europe/flight-connection-schiphol

Can you change the incoming flight to Amsterdam, to give yourself more time? Or just take a train to Amsterdam?
Good luck!
YOU CAN MAKE AN APPT FOR THE AMSTERDAM SECURITY LINE. ( Oops caps) The appt are available three days in advance. Check online-that may help.

The appointments are for security screening lines. Not passport control.

Oops, thanks.