Wow congrats! At my first plant, it took just under 2 weeks to get a badge. At my second plant (info in PADS), it took 3 days. So I would say 1-2 weeks, provided as you say, you have nothing weird going on. One important thing to remember is that you must explain where you where at all times during the period (a few years back) that they are asking for. For example, when I was on terminal leave and not working anywhere, I had to cover that gap and someone had to vouch for what I was doing during that time. So if you have any employment gaps, make sure you can explain where/what you were doing and someone can back that up.