Sorry! I posted before I checked myself. Can't remember all of it all the time. :realcrazy:
With factory V8 bars it won't be too stiff with a 1.125" front sway bar. The front end was significantly more undersprung than the rear end was from the factory, so you probably still won't need a rear sway bar unless you have larger tires back there. I'm usually a fan of running them in pairs, but for your application I don't think it would be an issue.
If you had larger front bars it might be more of a concern, but a lot of that comes down to how your car is specifically set up as far as front and rear weight bias, wheel rates, roll centers, etc.