One thing to know, from a guy who built his first 15 meter dual element beam ham antenna as a kid in 1964, the correct antenna length is important. Adding height improves performance but just adding length by winding more wire around a fiberglass stick can actually reduce an antenna's effectiveness by detuning it.
For the 88-108 MHz FM radio band, the correct quarter-wavelength antenna length for the mid-point of that band is 31 3/4". That's the most common length for automotive car AM/FM antennas. If you measured your TJ's factory antenna length, you'd find it's just about that exact length including its mount on the tub. Having that exact quarter-wavelength length helps it receive weak FM radio stations better. AM stations are strong enough that length is not as critical.
Not to mention that spiral-wound antennas like that Firestick have a significantly lower bandwidth than when they're not spiral-wound. Spiral winding it can give it the required length compressed into a shorter physical length but that reduces its bandwidth, which is its ability to perform well away from the frequency its length was cut for. I'm just saying that particular Firestik antenna may not provide the boost you are hoping for.
And that little short antenna at your
https://www.amazon.com/dp/B01M5JK8E2/?tag=wranglerorg-20 is all hype with poorer performance than the factory antenna provides. It absolutely will not perform as well as the stock antenna does. Forget all its marketing hype about it using copper vs. steel or aluminum, it makes no difference in that application. It only says "Reception Guaranteed" which is a pretty laughable guarantee. A wire coat hanger can provide reception. Nowhere does it guarantee anything better than that, it only compares its performance to other short antennas... not the factory antenna whose performance it absolutely cannot come even close to. You have to read between the lines on gadgets like that.
I worked in the HF/VHF/UHF communications field and took care of large antenna farms plus transmitter and receiver sites. I designed (a few), built, and erected many antennas including maintaining military and commercial antennas. I even had to erect dipole antennas by myself all over Vietnam for a medical evacuation HF (10 MHz) SSB radio network in 69-70. I'm still active with radio communications with a general class ham license with a multi-band HF antenna I made. Antennas and their designs is something I have a fair background in.