Meh, I think you just have to show them in some way that you are just as emotionally sensitive as them but are told not to show it.
I had an ex who gave me serious trust issues because when I, a sixteen-year-old, self-loathing, depressed loser opened up to her about it, she responded with a "you shouldn't feel that way because I love you" and then proceeded to act like the reason that didn't immediately fix it all was because I was an asshole. She was fifteen and immature, but the scenario didn't even come close to happening the other way around. I was constantly patient with her and her insecurities, and if I ever seemed like I wasn't, she'd get mad.
On the other hand, she'd force me to open up to her, and eventually I stopped, because even though my problems were stupid, they took years of reinforcement to build up, and I hardly ever told anyone about them, so it was just a huge mess of me getting really fragile, her being a bitch, then her acting like I'm an asshole for not opening up to her after everything. One weekend, she made me think about stuff I tried to keep myself from thinking about on a regular basis that I didn't want to face, and then decided, "hey, let's go shopping later. Oh? You're having a panic attack? You're an asshole."
So just don't go about it like I did. Do it slowly. If you show them all at once that you have feelings and insecurities just as much as they do, it shocks them and they don't like it.