There is a whole bunch of reasons to vote leave and the debates for the last 6 months have been very informative. These, you missed. But radio 4 had debates most days from smart people on both sides. Older people listen to the radio and watch debates on the TV.
I was often surprised that the 'vote remain' people often couldn't answer simple questions. The biggest being with uncontrolled immigration (no possible way of capping a maximum) how do you plan for schools, hospitals, teachers, nurses. So you hear from teachers, day after day on the radio with these arguments and it becomes easy to vote out.
Then you have the popular radio 1 and other 'younger generation' tv shows, twitter, facebook, reddit etc that are posing the debate in a different light. Farage is an idiot (true.) Immigration is good, the EU is great and has done so much for us, we can fix the broken bits. Then it's much better to vote in.
A lot of people who voted remain did so because they were terrified that if the Tories had more power they would strip workers of their rights, decimate the NHS, privatise schools, etc etc (a lot of these things have nothing to do with the EU - sigh) so they voted in because they fear our own government!
Other people voted out because they hate our government - a sort of protest vote.
It's been a crazy time.