Should Senior Officers Resign in Protest?

I guess people are going to do what they have to do, but I've always tried to live by the saying "be the change you want to see in the world" so no, don't run away from the problem. Fix it.

This is what they are paid to do right, to give advice, and to execute the orders of the President. I mean what is the point of having a President if there is backlash because he made a decision. The Military Leadership is beholden to the President, and thus to the American people, not the other way around. I consider the record and the legacy of those Generals independent of the conduct of the Executive, much like I would not hold a Private responsible for the decisions of a Sergeant. In the end I would hope they ask what purpose my resignation would serve. My foresight says it will most likely insert them into a political incident they are ill equipped to win without siding with partisans who will take the issue and insert their own grievances to the extent that they are nothing more than mascots, or they will be fodder to the political machine of that particular President.

Rant aside they should continue to give the best advice they can provide, and hopefully it at least steers the conversation into the best possible direction.

I would like to think that those officers in those positions are doing their best by providing the best information to the President so that he can make the best decision.
I would not trust someone who decides its time to resign because they are butt hurt over someone not taking their advice.
I am pretty certain that they have had their advice ignored numerous times over their career and if they didn't resign then why do it now.
Every leader has to take the advice and weigh it, in the end its the leaders decision to make based on the advice given. All you can do is offer your expert advice and give a strong enough argument as to why its the best option.