It's a shame when resigning is the only way out. Before reaching that point, the usual strategies should be attempted:

  Picking your battles;
  Negotiate rather than fight;
  Be better at analytics and research than anyone else. So you have the data to measure or predict success about a particular feature or direction. 
  Armed with your data, you must carefully communicate findings without shaming others. 

It's a fine line between fostering a positive work environment in the face of misguided decisions, and being condescending or derisive towards other team members. There is no silver bullet, but a touch of self-deprecating humour never hurt. If you advice isn't taken, you'll have a non-snarky receipt. Any email written with an irritated tone, will look twice as bad months later.