Welcome aboard and I too am from Tx bud. No the pulley should not be wobbly. My recent flat tappet 350 motor in my 61 Impala had a bad wobble due to the bolts not being properly torqued. Well a few hundred miles later, I sheered the crank and wiped the cam. Double check the bolts, or the pulley may just be bent, if it is just replace. Also make sure that all your pulleys line up. Good luck and keep us posted. God Bless