This is awesome! Great work. One must have for me is auto complete, I use LaTeXila and its hard to move away from auto complete. Spell checking would also be amazing, I have yet to find a good LaTeX IDE with spell check.
I have been using Emacs for quite a while now. It offers (via AucTeX/RefTeX) a brilliant solution for bibtex files, references, writing LaTeX, autocompletion etc. And if you use it in conjunction with either ispell or flyspell (on-the-fly spell-checking), you basically can use both at the same time.[1] However, this might be daunting, especially when this means starting and dealing with Emacs for the first time.
[1]: It might however be necessary to redefine one of the shortcuts for either flyspell or autocompletion, since they both use the same keys by default.
I do the same. However, I also view the generated PDFs in Emacs and I set it up so that the PDF-in-Emacs will auto-reload whenever the PDF changes. And I agree, refTeX is amazing and awesome!
Lately, I even left pure LaTeX and migrated to org-mode and its LaTeX/PDF-export. That is a pretty brilliant combination, I must say.
Really among the many things Emacs does, LaTeX is one thing it does exceedingly well.
[1]: It might however be necessary to redefine one of the shortcuts for either flyspell or autocompletion, since they both use the same keys by default.