It took me two failed interview attempts when trying to get into my post-grad degree to realise that when people said "just be yourself", they actually meant "be who they want you to be". It was a bit of a *facepalm* moment when I figured that out. So I 'faked it' the third time and got in no worries.
The best thing my parents did for me was to put me in drama school when I was young so faking it became easier. I still go to acting classes during my Uni holidays; summer schools at top-notch academies (costs a lot but you usually don't need an audition to get in), and there they make me look into people's eyes for hours. The best instruction I got was from a scary scary tutor who would run around yelling "it's not about you, it's about THEM!" Looking at other people, seeing other people, reacting to other people, give and take, noticing where they're standing, how they're standing, who has the status, what are the stakes... incredibly exhausting but brilliant brilliant brilliant at teaching you how to fake it.
When you push yourself hard in a 'safe' environment (actors are weird people by default, they don't care if you're a little odd too), you can build up your 'social muscles' just as with any other. Every time I go (one month, full time), I always feel like I can face the year ahead with far more tools and strategies than before, and I become a lot less exhausted in social situations.
Acting skills classes are made for Aspies.