Tl;dr: it might be better for noise, vibration and harshness than for handling.
Once upon a time, I had a Fox body mustang. I remembered it being chock full of rattles and squeaks. It was definitely a source of sideways looks from the WifeUnit back in the we have no money days.
After doing a little research, it appears that the greatest measurable benefit that you might gain from an engine bay strut bar is a reduction in noise, vibration and harshness (also known as NVH). Apparently, there's real data that indicates that a front bar can change the chassis resonant frequency. Apparently, the increase in frequency is manifested in a reduction in rattles, cowl shake and all kinds of annoyances. The net result is that the car feels more "tight."
However, the same poster says that he has tested before and after with his 88 on track and has seen no change in lap times.
So, will it seem nicer? There's a reasonable chance. Will it make you go faster? Almost certainly not.