A front sway bar is a nice upgrade for a street car.
That said: I won six national championships in cars with no swaybars. 4 of those in an X1/9.
I had a front swaybar on my '74 street car. Specifically, not to promote understeer but reduce body roll and correct the car's natural rear roll bias due to the stiffer rear springs. A front bar, added to a mostly stock car, gives the car a much more stable feel in faster corners and reduces total body roll.
I lowered my car with D2 sport/track-day coil-overs with quite an aggressive camber setting and no anti-roll bar (see pics below). Works well, behaves very neutral and is still comfortable on the street. However, good can be better, and next season I will tune it for 100% racing and go for much stiffer springs at the front with a 1,5:1 spring ratio front/rear as per advice from @Steve Hoelscher . But my wheels are 185/60R13, so they are tiny compared to his, so I am afraid it will understeer.Looks like step one is lower and maybe stiffen. What's a good adjustable lowering set up for fast street track days?
I'm not one to argue with a multi-champ. I can concede that a stock suspension will have overall roll reduced with a front bar. But every X1/9 I've driven in anger on track or auto-x with a front bar either reduces the oversteer significantly or downright understeers. I suspect you know more what you're doing with suspension setups that the average Joe that just buys a bar and cranks it up. The cars I've driven with bars weren't setup by a multi-champ, that's for sure.
I've found that lowering an X1/9 relieves the need for a bar to limit roll. At least to my liking, while not significantly impacting the car's natural oversteer tendencies, which is part of what makes it a great handling car.