Don't run that car on the street like that. Seriously, do not.
If the pivot is still spinning you haven't torqued it properly. The pivot SHOULD NOT SPIN during normal operations. If it does, it means the LCA can move around, and that is NOT what you want. You need to remove that nut and figure out what's going on.
If you want to know about the consequences, you can ask Oldmanmopar as he should know that one all too well. His car was totaled because he used UCA eccentrics that didn't have the flat cut far enough down the bolt. The washer bottomed on the flat without putting pressure on the UCA, which meant the UCA could move around. His car ended up wrapped around a pole at the drag strip because of it.
It's critical that your suspension functions as it was intended. The pivot has to be torqued that high for a reason, the factory did not want that pin moving around. If it does, not only will it mess with your alignment, but eventually it will hammer the pivot tube out of the K member.