Check the oil filter has the rubber drain-back valve provision.
Some cheapo filters don't have it and the oil can drain-back into the sump if the motor has been sitting for a while - therefore the oil pressure takes a few moments to get around the motor and pick up any slack. Worth finding out what oil has been used in the past - the wrong viscosity can hurt these motors.
However, they are very robust - my N/A 4.6 took all the abuse I threw at it for 10 years and ran like a swiss clock.
Once you've resolved that issue, then you can buy my 2001/2 SVT Cobra Supercharger setup - look at it as a reward for sorting out this issue...