TKO 600 + Quick Time BH Space?

[lovehamr]

Working down to get my engine in my car and was mocking up the trans today. It's almost 15 thousandths off so some offset dowels are in route from RobbMC. Since I can't put the clutch in I decided to stab the trans and check it out. Glad I did. It slid in fine, nice and smooth. Then as I was looking closely I realized that it wasn't seated all the way. It's so close that, had I been laying under the car to do this, I'd have probably put the bolts in and cinched them down not realizing that there was a problem. And I'd probably have killed my engine the first time it fired. So after taking it back out of the BH I started taking some measurements. From the face of the trans to the tip of the input shaft is 7.11." The length of the pilot stub of the input shaft is 1.11" leaving right at 6" from the trans face to the end of the splines. When measuring from the rear face of the pilot bearing to the deepest part of the crank is 1.5" so I have plenty of room behind the pilot bearing. Measuring from the trans face of the BH to the rear face of the pilot bearing comes in right at 6", the same as the input shaft length to the end of the splines. So it looks to me like I have some interference between the rear face of the pilot bearing and the front edge of the input shaft splines. So here I am; the block plate is in place and the BH is bolted securely, the pilot bearing is fully seated and the trans won't go in. What would be some options? Does anyone make a shim that goes between the trans and the BH? I'm thinking 125 thousandths aught to do it. Or is there something more nefarious going on here?