Re: After you. No, after you!
COLREGS are very clear about who should stand on and who should give way. Altering course when you shouldn't is one cause of unintended collisions. Unfortunately, naval vessels don't always follow COLREGS, as they wish to preserve their freedom of action, but unless you are deliberately following the practices of trireme warfare, even naval vessels tend not to actively intend to ram another vessel (unless you are an Icelandic built-like-a-brick-shithouse-boat intercepting British frigates send to try and protect the right of British fisherfolk to fish in contested waters).
Meeting US Navy ships head on would be rather worrying, given the standards of seamanship exhibited by the US 7th Fleet : USS Fitzgerald and MV ACX Crystal collision & USS John S. McCain and Alnic MC collision.