will this setup have issues?
looking at some ar-23's 15x10 with backspacing of 3 3/4" and running some bf goodrich all terrains 32x11.50x15...don't really plan on lifting the jeep yet...do you guys/gals think i'll have any issues with rubbing?
You don't have much backspacing, so, if you rub, it will be on the fenders on stuffage, as you're sticking out pretty far....on the other hand, you went with 10" wide rims, but only 11.5" section width tires....which is a lot of extra metal for no benefit....maybe if you planned on running 13-15" wide tires....but, for even 12.5" section width tire, most of us are running 7 - 7.5" rims. 
As for INBOARD BRAKE rub, not sure how the 15's will clear the brake calipers. Some 15" rims do, some don't...it depend upon the inboard bracing and so forth....with 3.75" of BS, you might be OK on that front at least.

As for other rub, well JK's come standard with 32.1" tires...so your 31.7" tires will be SMALLER diameter than stock.......and therefore you'll have PLENTY of extra room.

The BG AT ko's are great though...but, dude, up the size of the tires or get narrower rims....you're in over AND underkill.

For the same rims, just get the same tires in a 33x12.5/15 instead of a 32x 11.5/15...it will still fit, and you'll at least have a decent footprint and still not need a lift, etc.
IMHO

As for INBOARD BRAKE rub, not sure how the 15's will clear the brake calipers. Some 15" rims do, some don't...it depend upon the inboard bracing and so forth....with 3.75" of BS, you might be OK on that front at least.

As for other rub, well JK's come standard with 32.1" tires...so your 31.7" tires will be SMALLER diameter than stock.......and therefore you'll have PLENTY of extra room.

The BG AT ko's are great though...but, dude, up the size of the tires or get narrower rims....you're in over AND underkill.

For the same rims, just get the same tires in a 33x12.5/15 instead of a 32x 11.5/15...it will still fit, and you'll at least have a decent footprint and still not need a lift, etc.
IMHO
You don't have much backspacing, so, if you rub, it will be on the fenders on stuffage, as you're sticking out pretty far....on the other hand, you went with 10" wide rims, but only 11.5" section width tires....which is a lot of extra metal for no benefit....maybe if you planned on running 13-15" wide tires....but, for even 12.5" section width tire, most of us are running 7 - 7.5" rims. 
As for INBOARD BRAKE rub, not sure how the 15's will clear the brake calipers. Some 15" rims do, some don't...it depend upon the inboard bracing and so forth....with 3.75" of BS, you might be OK on that front at least.

As for other rub, well JK's come standard with 32.1" tires...so your 31.7" tires will be SMALLER diameter than stock.......and therefore you'll have PLENTY of extra room.

The BG AT ko's are great though...but, dude, up the size of the tires or get narrower rims....you're in over AND underkill.

For the same rims, just get the same tires in a 33x12.5/15 instead of a 32x 11.5/15...it will still fit, and you'll at least have a decent footprint and still not need a lift, etc.
IMHO

As for INBOARD BRAKE rub, not sure how the 15's will clear the brake calipers. Some 15" rims do, some don't...it depend upon the inboard bracing and so forth....with 3.75" of BS, you might be OK on that front at least.

As for other rub, well JK's come standard with 32.1" tires...so your 31.7" tires will be SMALLER diameter than stock.......and therefore you'll have PLENTY of extra room.

The BG AT ko's are great though...but, dude, up the size of the tires or get narrower rims....you're in over AND underkill.

For the same rims, just get the same tires in a 33x12.5/15 instead of a 32x 11.5/15...it will still fit, and you'll at least have a decent footprint and still not need a lift, etc.
IMHO


