That's probably the root of it. Wide 60 series radials in front will make it worse, than, say a narrow 70 or 75 series radial will.

One thing that makes it alot better is increase the air pressure in the front. Pump them up to the max, or maybe +5 or 10 psi beyond that and it will probably straighten up quite a bit. It will probably never be perfect but it should help some (at least it helped mine).

I bought a pair of bias front runners but have never tried them except a short time on the street. Big difference in stability with them w/bias rear.