I was wondering if anyone has tried running a battle with all three factions present, and if so how did it go?

I played a 2v2 battle last week.  It was SSU and allies V Axis.  It went pretty well for the SSu and allies side.  They had a hard time dealing with our copters and they lost their observor team first round so lost two walkers effectiveness the first couple of turns.  We did 300 points a person so it was 600 a side on 4 maps.  Pretty fun to play actually.

I was Meaning each one a separate team so 1v1v1, sorry for any confusion.

I knew what you meant, but figured this might be some info that could be useful as well.   

 We tried on an 8x4 table with the Allies holding objectives in a town in the central 4x4 area, Axis attacked from one side SSU the other.  The game went OK for the attackers, but not so well for the Allies as they were out-activated all the time and the heavy cover did not compensate enough and needed more points to balance, maybe an extra 50% is needed. 

 We just did a 3 person game this weekend.  300pts each.  It went fairly well.  My axis forces were the last standing, but VP are figured on kills not survivors.  My wife's allies took out about 100 of mine, and almost 200 of the 3rd players forces.  He got about 150 of hers and 25 of mine.  I took out her other 150 and the his last 100.  We did a 4x3 map and rolled off for deployment zones with each player choosing a 9 square section of the edge at least 6 squares away from any other deployment zone.  Whoever won initiative could go first or defer to 2nd place, 2nd place could then go or defer to 3rd place.  After the first activation we just kept going in that order.

 I remember reading about a Dust warefare game where the goal is to assisanate an enemy VIP while protecting your. So each side will have to kill a squad from a specific side, such as Allies attack SSU, Axis attack Allies, SSU attack Axis, this way its like a check and balance where you need to kill your target but also make sure your enemy is not too strong that he can kill his target before you can kill yours.

this should be able to work with tactic as well