As said the sticky fronts will fix it temporarily..............trail braking from turn in to apex will keep it at bay until you get the set up fixed................it does sound like a mismatch set up. You could also disconnect the front bar as a test to see which way the balance goes.
Now as for stock 1200's and B210's / 120y's I've always found them very neutral once you've mounted decent tires (175/60 or wider).

Tom