Obviously you don't use the words "contract of adhesion" or ask for that stance to be officially signed. You just send a friendly email to your point of contact

Obviously you don't use the words "contract of adhesion" or ask for that stance to be officially signed. You just send a friendly email to your point of contact expressing your concerns and asking for changes to things. If they pull the offer over bringing up your concerns over a non-compete, they're an abusive enough company that you're probably better off not taking the offer. If you tell them you're concerned about the wording and consequences of some terms, and ask what options you have, they'll likely tell you in an email whether or not you're allowed to negotiate or amend the contract.