No, that's not quite correct.
In most situations, people have comparable experiences. They know how it feels to be angry enough at someone to want to kill them - but don't do it because they know it is wrong. They know how it feels to be just too lazy to do something, as in the case with the person and dog poop on someone's lawn. The only case you mentioned where I can't see someone getting a grip on conceptualizing it is being molested.
In this situation, no one who is not transgender has any set of experiences that allows them to properly understand what it is that they are going through. For example, you can conceptualize my being gay by saying, "I don't understand why he likes men that way - but I can get a grasp of it by saying, "He likes men the way I like women."
There's no similar "comparison" that the average person can make with someone who is transgender. That isn't to say that discussion shouldn't be done - only that the cheap pseudo-philosophy and "suck-it-up" attitudes are even worse in this situation.
This was described to me by a MTF friend, so I may make a mistake; don't jump on me for it, please, thanks, 'kay? Excellent.
Take, for instance, a MTF . In this situation, what is between her legs is male genitalia. Penis and testes. Her body, however, produces a female chemical make-up. Her hormones are female - or rather, the make-up is female.
In this situation, the body's chemical make-up says "female," the physical appearance says "male," and the person "feels" female because the body is saying "female." The dissonance is probably created due to this experience.