67 Neutral Safety Switch-Column to Floor

Have a 67 136 car. When I purchased a couple years back, it had a '77 454 with a '68 Saginaw 4 speed on the floor. Best I can tell, car was originally a 283 with a 3 on the tree. Pulled the 454 and Saginaw and am currently in the process of swapping out the engine (to a '66 396), tranny (to a '67 Munice 4 speed with Hurst shifter) and column (to a '67 SS floor shift). From reading some older posts on the site if I am correct (?) the 283 with a 3 on the tree DID have a neutral safety switch where as the floor shift models in '67 did NOT. So......having pulled the original column I have disconnected and taken out what I believe to be the neutral safety switch. Dash harness wiring has been replaced since I owned car - replaced with a repro from Lectric Limited (correct color, gauge, length of wires). My question is - will I have any issues starting the car without the neutral safety switch??

Let me know if you need more info as I'm a novice.

Thanks for your guidance - always much appreciated.

Chris