Is it normal to be romantically and sexually attracted to men but not find them visually attractive? I often had crushes on men that weren't based on their looks but on their personality and other things that are not connected to physical appearance, and it makes me unsure if I actually like men.
I don't know if anything is "normal"! But my wife describes herself as demisexual - maybe that's a concept that might fit? She finds women more visually attractive than men but is only really attracted to people (male or female) based on personality etc...
Yup, there's absolutely nothing wrong with being solely attracted to someone's personality. In general, humans are visual creatures, so oftentimes attraction starts with physical and moves into emotional/psychological connections, but other times it's happened in the reverse--wherein someone finds someone physically attractive after they've come to like them as a person. What you're experiencing may not be the status quo, but that doesn't mean there's something wrong with it, or that you're attractions/feelings are less valid.
With the human mind being such a complex biological computer I think the term 'normal' applied in a larger sense is literally a fantasy and individually 'normal' is highly subjective. If that is how you feel then that is normal