is it alright to take off the stock nerf bars and not have anything unattached and the rear axle wobbles like the bearing are bad but it seems the 2 nuts on the shaft are loose

 

You can take them off but i would not advise it. If anything you should take them off and get a good set D.G. because your foot can get pulled under the bike causing sevral broken bones (trust me Right now i am recovering from a broken right ankle, leg and a broken left wrist cause i had no nerf bars and my foot got caught up and pulled under the quad and the first thing i am putting on my four wheeler is a nerfs assuming santa brings them to me)as for your axle you should check your berrings just to be safe