Moe... by its very definition it is impossible to dislike it. It's not a character type, rather a feeling felt towards certain characters. Not everyone will feel moe for the same characters. It's a hard feeling to give a description of, but for me it's the feeling of the want to cheer them on, you feel happy when they feel happy. It is most definitly not a sexual feeling.
What a lot of people dislike isn't moe (as I said, by definition of the term, if you dislike the character you can't feel moe for them) but rather characters who were created for the sole reason of instilling artificial moe. I have limits with artificial moe characters, some are cute but I rarely feel moe for them. A lot of the characters people describe as moe blobs fall into this category, and while not every character described in this way is what I'd call as a character created for the sole reason of instilling moe, a lot are.
Also, moe doesn't have to talk about female characters. One of the most moe characters I can think of is Haranobu Madarame of Genshiken. If Shinji wasn't such a whiny prick, he'd almost be moe.
Hinagiku is tsundere, but she also makes me feel a bit of moe for her too, but she's not the only character in Hayate which does that. Izumi Segawa is another one, but obviously Ayumu is the moe-par-excelence of the series for me. I can't help but want her to keep on trying her best all the time, I smile when she's happy, and when she gets upset I want to pick her up and cheer her on her way.