All of what you've described are generally learned behaviours that are usually culturally-specific. Not all men in the world behave like you've described - that tends to be a Western trend especially.
But if you live in a Western society, the pressure is often fairly high to conform.
I think that, in order to buck that trend, you have to be at a place mentally and emotionally where you a) like your yourself as you are and b) don't give a crap what others think. I list these two things together because I feel that "b." is dependent upon "a.". You have to like yourself enough and feel comfortable enough within yourself as a man to not care what others' perceptions of you may be.
Some guys, trans* or not, do actually more or less innately enjoy things like sports or cars. Just as many don't. Pretending to enjoy these things isn't necessarily a trans* trait - plenty of cis guys pretend, too in order to "fit in" or to be taken seriously as a man.
I've done this myself and I've seen it far too often within the ranks of those trans* guys just starting out on their journeys. In the beginning, especially if you don't pass well - it's taken that the more "manly" things you do and the more stereotypically "manly" you behave, the better you "pass". For some, this pretty much diminishes once they start T, get surgery or otherwise begin to be correctly gendered by others.
I think that it's really just about looking around, in the end - and seeing just how many non-conformist cis men there are, too.