It has inline math. I just forgot to add an example for it. If by IEEE style, you mean bibtex, then yes, you can easily swap the bibtex format.

I mean writing things meant for publishing in IEEE conferences, using the IEEEtran class.

Another concern is: is it practical to include figures drawn with Tikz? I find it the easiest way to lay out many things, but it effectively means LaTeX lock-in.