For me, the main thing that separates good characters from bad ones is the presence of weakness and drawbacks. I don't mind superpowers or furries or whatever else, as long as there's some kind of drawback. For example, a furry is quite likely to experience prejudice, racism and alienation in a society dominated by humans (much like black people in white dominated societies for example). This wouldn't be a footnote in the character's development, but a major feature in their personality, guiding principles and general beliefs.
The same goes for characters with superpowers. Sure, fine, I don't mind a bit of telekinesis or lasers shooting out of eyes, but it should have drawbacks. Headaches, intense concentration, fatigue... plenty of options. People just don't think about the weaknesses of their characters.
Remember even somebody like Superman, who shoots lasers out of his eyes, can survive in space, has super strength, can fly and many other things, has a weakness. Super characters can be really cool.
I've got no problem with any kind of RP conceptually. It's the execution that matters, and in 98% of cases including in my opinion, all of the furry characters belonging to SMI, it's the execution that's severely wanting.
And it's fine for faction leaders to pass judgment on your RP. There will always be people who like it and accept it and people who do not. Their opinion is as valid as yours... sometimes more so, if you're asking to play in their faction. They don't have to make concessions if they don't want to, or if their memberbase consists of people hostile to that idea.