BAT won't affect the operation of BUG or BUFFY, so you don't need to worry about that. BUFFY should install in the \Mods directory, so it shouldn't interact with BUG, at least mine doesn't.
Are you sure that you're patched to 3.19? And which version of BUG and BUFFY are you running? What OS are you using? There is a fix for BUFFY when running on Windows 7/Vista. You can find that in the HoF forums, or here:
http://hof.civfanatics.net/civ4/mod.php?show=vista
Press CTRL-ALT-O while in game to see if BUG is running.
A little more information would help.
System WinXP SP3
BtS Patched to 3.19
Buffy 003 in Mod directory and BAT 4.1 also in Mod directory, they work correctly.
The problems occur when I install BUG 4.4 into CustomAssets folder.
A
It doent work (no bug icons and shortcuts for option) .
B
and it breaks all other mods (BAT, BUFFY, MoM...) After BUG installation while using Buffy/Bat/MoM I can load the very first game after strating civ or start a very first new game and play w/o problems. The problem is when i try to load another game or quit to main menu and start another new game - I experience CTD without any error message.
So in practice I am forced to load new game by quiting civ to desktop and starting again.
PS
BUG into Mod folder = no problems
BUG into CA folder = problems
But I need it in CA for posting SG on board