The tire may be a bit oversize but the real problem is your old rim. Current rims have "hooked beads" which are an inward facing ridge of metal just inside the outer perimeter of the rim. These "hooks" match a groove around the tires bead area and the two interlock to keep the tire on the rim at high pressures. Your old rim lacks these hooks but your new tires are designed to work with them.
Is your front rim the same vintage or a newer replacement?