Just a thought - how would you know that you _loved_ someone if you hadn't gone out with them? I figured the whole dating process was to get to know someone, and _then_ falling in love, but maybe I'm just old-fashioned.
Anywho, to answer your question, I'd find it pretty ridiculous. Now I'm a girl, so this problem wouldn't typically apply to me, but the custom of asking a father's permission for, well, pretty much anything (dating, marriage, all that crap), is saying that this girl can't make decisions for herself, and that her father pretty much owns her. It's the same as the custom of the father 'giving away' the bride on her wedding day - passing a possession from one owner to another. The mere thought is insulting.