Dana 30 Tru Trac, CAD and Posi-Lok

I have an '85 XJ with the original Dana 30 with CAD and a Detroit Tru Trac diff. I have a Posi-Lok manual disconnect control on it and am wondering what will happen when I drive on the street with the pass. side axle disconnected. Is it going to pull to the side like a mother? Is this a mistake and should I convert to non-CAD before I finish the project? This is a going to be a mostly trail Jeep, but I will be driving it around town a bit and to the trails... Thanks in advance for any replies!

If you are in 2wd nothing will happen, plenty of people drive with auto lockers (Lockrite, Aussie, Detroit) upfront and once the axle is in 2wd the diff unlocks itself.

-Alex