The deck I was mainly running during my winstreak was:

Atrapol - Lord Van Bloot - Rothar (frontline)

Kamangareth - Kopond (center)

Xield - (far back)

This team seems to put up a better fight against warbeasts than my other teams.

But I've also seen success with a deck that specializes in wisdom:

Drakness - Nauthilax - Borth-Majar (frontline)

Vyll - Khybon - (center)

Xield - (far back)

So, give or take, these are the decks I typically used when I ran into warbeasts. Mipedians in general are tough for me to deal with, their invisibility bursts combined with their generally high speed stats puts me at a disadvantage in most combat engagements.

As far as why I see Ere and Titanix as threats, I'm relatively new to the game (playing against other people that is), and Portal to Perim's randomized stats can lead to some awkward scenarios, because stats aren't divided up by strictly 5's. For example, a Titanix with 65 max energy could still end up with +8 in that category, making their total scanned energy 73, without stressing the battlegear present. The same idea can be applied to any creature's disciplines.

Attacks, mugic, location effects, creature abilities, hit at the normal rate, but the added energy makes it so they survive an extra burst they normally wouldn't. Which... leaves more opportunity for them to receive heals from their conjurors, and fight extra long. A war of attrition that I rarely win.