LyX mangles Unicode Greek during import from LaTeX

[signups2]

Greetings all,

I'm currently looking to switch to LyX from TexShop in order to work  
on my thesis.  I use a lot of Ancient Greek in my documents, so the  
first step is to make sure I can correctly import my current files  
into .lyx format.

I've figured out how to make it work, *mostly*.  Unfortunately, I've  
run into a weird problem with how the tex2lyx program handles  
polytonic Greek in utf8.  For instance, the following document snippet  
shows part of my original chapter in LaTeX:

-------------------- begin snip ------------------------
\documentclass[12pt,english]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[a4paper]{geometry}
...
\begin{quote}
\gkq{...ὡς οὔσης  
τῆς φύσεως  
ἀρχῆς τινὸς  
καὶ αἰτίας  
τοῦ  
κινεῖσθαι  
καὶ ἠρεμεῖ,  
ἐν ᾧ ὑπάρχει  
πρώτως καθ᾿  
αὑτὸ καὶ μὴ  
κατὰ  
συμβεβηκός.}\footnote{\emph{Physics,  
192b20-23}.}
\end{quote}
-------------------- end snip ------------------------

In Lyx, this becomes the following (taken from LyX's source view):

-------------------- begin snip ------------------------
\begin{quote}
\gkq{...ὡ\textgreek{c} οὔ\textgreek{svηc}  
τῆ\textgreek{c} φύ\textgreek{svεωc}
ἀρχῆ\textgreek{c}  
τινὸ\textgreek{c} καὶ  
αἰτία\textgreek{c} τοῦ  
κινεῖ\textgreek{svθαι}
καὶ ἠρεμεῖ,  
ἐν ᾧ ὑπάρχει  
πρώτω\textgreek{c} καθ᾿  
αὑτὸ καὶ μὴ  
κατὰ
\textgreek{svυμβεβηκόc}}%
\footnote{\emph{Physics, 192b20-23}.%
}
\end{quote}
-------------------- end snip ------------------------

The Greek *looks* OK in the LyX GUI, but doesn't process properly when  
I export to XeTeX and run xdvipdfmx on the resulting file.

Does anyone know what causes this, and what I could do to prevent  
tex2lyx from attempting to "translate" my Greek?

Thanks,
Erik Norvelle