We need to assume that the stop was legal (not a high hurdle to clear), that is, there was some reason to stop you. Even so, following Utah v. Strieff, police don't actually have to have a reasonable suspicion to stop you and if in the course of an ID check they discover that you have a warrant out for your arrest, the arrest is still legal. So if the police stop you, RCW 46.61.020(1) says:
It is unlawful for any person while operating or in charge of any
vehicle to refuse when requested by a police officer to give his or
her name and address and the name and address of the owner of such
vehicle, or for such person to give a false name and address, and it
is likewise unlawful for any such person to refuse or neglect to stop
when signaled to stop by any police officer or to refuse upon demand
of such police officer to produce his or her certificate of license
registration of such vehicle, his or her insurance identification
card, or his or her vehicle driver's license or to refuse to permit
such officer to take any such license, card, or certificate for the
purpose of examination thereof or to refuse to permit the examination
of any equipment of such vehicle or the weighing of such vehicle or to
refuse or neglect to produce the certificate of license registration
of such vehicle, insurance card, or his or her vehicle driver's
license when requested by any court. Any police officer shall on
request produce evidence of his or her authorization as such.
There is no law that says "you have to provide ID only if accused of a crime", or "police can pull you over only if you are suspected of a crime". Various traffic infractions will get you pulled over but are not crimes; random sobriety checks are legal. However, note that the requirement to provide ID applies to the operator. There is no law requiring citizens to carry identification papers (but there is a law requiring a vehicle operator to carry a specific form of ID). In some states there are "stop and identify" laws which allow police to demand ID from a person suspected of a crime, but Washington does not have such a law.