Let's see if I can help here. It is rather hard because I think we might be using different terminology for the same thing.
The reason your walls are bowing out is because there is unsupported thrust from your roof. This means that because your roof is sagging, there are uneven distribution of forces around the supporting walls. I don't see any reason you should have to use wire ties on a structure so small if the roof structure is corrected and tied into the walls properly.
Let me try to clarify the terms I'm using such that at least you'll be able to understand me.
drawing Rafters are the members that run with the pitch of the roof and perpendicular to the walls. Collar ties are horizontal members that run from about midpoint of rafter to midpoint of rafter across the span of the roof. Bridging are members that are placed perpendicular to the rafters and in the same plane - they brace the rafters against one another.
I'm entirely unsure what this member you are calling collar ties being 4" wide and 8' long. A collar tie is typically a 2x4 or 2x6 used just to brace up the roof. I think 4' spacing is pretty typical.
Going back through your posts and trying to figure the problem, I remain convinced that it is the spacing of your 2x4 rafters that is the problem and perhaps they should have been 2x6's spaced at 24" centers or even 16" centers.
You should also check that your sheathing - whether it be plywood or decking material that runs over the rafters and under the roofing material is in good shape. Sometimes it is the sheathing that causes the most problems especially when you are seeing a wall buckle on the exterior. The sheathing makes the roof system act as one, and to me it sounds as if you've got some parts of that roof that are trying to kick the wall out from under it.
I'm sorry to keep leading you back to more questions but it really is difficult to do this via internet. It would be much easier for you to have a home improvement savy neighbor come by and look it over with you.
Looking at load charts, it certainly seems that a 2x4 at 24" isn't going to span 8' of pitched roof without deflecting quite a bit.