My dad was extremely unsupportive as well, but in a lack of confidence way where he thought I would end up dropping out of college, in other words he indirectly was calling me a failure. But he also didn't support other ideas I had because he didn't want to tell people his son drives a truck. "It would have been embarrassing." How did I handle all of it, as of today I simply don't respect him. I know he still lacks confidence in me and is disappointed because I didn't turn out the way he hoped I would, but he can go **** himself. I ain't letting my future kids near that unsupportive cannibalistic Catholic.
As for you. This is my advice. As someone already said, in reality, such a career is not a promising one for income and being able to support you for living independently. UNLESS!!! You manage to take it up a notch and made your way into Hollywood. Maybe you won't get to style your friends' hair as your customers or necessarily make someone look pretty, but how does being a makeup artist and hairdresser for actors and actresses for movies and tv shows sound? You could probably even do Hollywood and everyday beauty work when not contributing towards a movie project.
A different idea could be this. Not sure how much of a partier you are or outgoing, but you could be always be a stylist by day and bartender by night. Neither alone can support someone to the point that they could save up enough moolah for a down payment on a house within 5 years, but the two combined could make you hit that goal. Plus, their schedules would work well together. Stylist in the morning to late noon and bartender in afternoon to like 10pm, just before the bar might start getting wild.
Overall, your dad is like mine where he is not at all supportive because, it's not that he knows best, he's just being inconsiderate and unsupportive of your desires for your life. Tolerate him and then just break the bond like I did with my dad.