And will the 3 and 5/8 bs wheel not work
3-5/8" will work but they push the tires outside the flares unnecessarily. It's a commonly done though, either by mistake or unintentionally. Most people don't know that wheels are available with different BS and j Running with excessive wheel BS is harder on wheels bearings. If you're still insistent on running them that wide then you'll have to get wider flares. If not to be legal then to keep all the crap the tires fling up off the windows.
3 5/8" = 3.625" which is really going to push the tires out.
Here's a YJ with 3.75" BS and no lift.
Here's another TJ with 15x8's and what looks like 3.75" BS with 31x10.5R15's. The tires stick out around 3" last the flares.
TJ with what looks like the same wheels and tires with Bushwacker 6" extended flares to cover the flares.