Katrik,
I've not used the tests you talk about, so I'm not sure how to interpret them. Looking at you plots, it does seem that the 3rd position is a little saturated and won't be providing much signal for the deepest nodes in your tree. But before you get drastic and lop it off I'd check a couple of things...
-
Is F84 the best model for these
sequences? It does include seperate
Ti/Tv ratios but a different model
(selected by jModeltest or similar)
might deal with other rates better
and get some more signal
-
Has you MrBayes run converged and do
you have a good MCMC sample (you can
use Are We There Yet to have a
look a while it runs). I'd be
surprised in PhyML recovered a nicely
resolved tree and MrBayes didn't. But...
If that doesn't work MEGA will export only the 1st and 2nd codons - but be aware you'll also be throwing away a lot of the the signal that helps relate the shallow nodes in your tree.
EDIT to answer q's below
Sounds like you've taken all the obvious steps and are in the murky world of phylogenetic troubleshooting, which usually requires knowing what's going on in your tree. Micheal Sanderson has a review of some of the steps you might take (doi:10.1146/annurev.ecolsys.33.010802.150509) and for Bayesian analyses densitree is a good way of visualising just whats happening in your sample.
(You could also treat 3rd codons as one partition and 1/2nd as another, then unliking their parameters so each can behave differently)