You may come to love the quicker steering. I raced a bike with VERY quick steering many years ago. So quick it took a month to be comfortable, two or more to be comfortable no-hands. (For scary 3-4 races it was a Godsend. It would steer though any crash.)
My Mooney is maybe barely on the quick side of "classic". My custom ti "good bike" is quicker. My custom ti fix gear is race quick. Not as quick as that old racing bike but I have to pay attention. I absolutely love it. But I do find really quick bikes get me to ride faster. Now the real fun is when you can ride that really quick bike and leave a perfectly straight tire track.
Ben