As far as I know, primary verification is required, which is your mobile number, and the ATM machine will capture your face through the machine camera.
If you are not paying with cash, then they can get every other piece of information they need for any verification from your ATM card, so what's the point of asking for ID verification?
2. When you want to buy or sell with it, does it have P2P trading? Or does the ATM and bitcoin belong to a company, and you're simply buying from or selling to them?
And yes, the company has the Bitcoin; you are simply buying it from them with the expense of an extra fee compared to how they are selling it on normal exchanges; the Bitcoin ATM fee and price are always higher.
I think that just like your every day ATM card that you use there is going to be a form of verification that will be embedded in the card for the sake of security because if that is not done any wrong hand that lays hands on it can use it, so before something like Bitcoin ATM issued you can be assured of the best form of security which will be geared today making sure that any one using the ATM will have no concern about security.
I think that the the thing that you should be more concerned about should be your ATM pin because I believe that since it's just looking like your normal everyday ATM card you will also have a pin so your ability in keeping your pin safe from others will be key and important