Kenny, take my input with a grain of salt since I haven't built a glass bow, but I have built wood recurves.
I think based on where your string grooves are cut, you should be ok with stability. The string grooves look about 1" in front of the back of the riser. That's shouldn't be too extreme. Might be more finicky to tiller, or you might need a bit more brace height to get the stability up, but might not even be a problem at all.
1.5" wide should be fine, If you haven't tapered the limbs yet I might consider keeping them slightly wider at mid limb than a straight taper to the tips would give you.
I've made two red oak recurves which were only 1.5" wide, and both have the tips about 3" forward of the back of the bow, and have no deflex other than the bit of set that they took. The first one I made basically a straight taper to the tips (pyrimidal) and it was a bear to tiller, had to use heat to align the tips after tillering. The second was full width to 10" from the tips, then tapered to 1/2" nocks. That bow had basically zero stability problems even though is is fairly narrow and highly recurved.
I would consider doing something in between the two of those. Now on most of my bows I make a straight taper from the fades to 1" wide at the tips. Then I make a second taper line starting at 10-12" from the tips and tapering to 3/8-1/4" at the tips. Once I cut the profile out to those lines, I blend the area around mid-limb where the two taper lines meet, so it a nice smooth rounded transition; it almost looks 'oval' when you're done. This way I get a little more mid limb width, and still taper nicely to a narrow tip. Greatly improves stability over a single straight taper, and shouldn't impact speed much because your limb tips remain narrow. I hope that description was clear.
Good luck, and as usual the bow looks great.