Like I said, JoniK, you WILL have blind spot issues if things go reversed. Two very good examples are:
1) You are driving a LHD car. You are driving on a hill with a sharp left turn with infinite length with only one lane for each side. Let's say you're WRCing with some kid and you have to use the full lane. Now, the problem is, you cannot see oncoming cars fast enough from the other side of the lane because your field of vision is totally blocked by the frame between the side window and the front window. Just imagine, and once you realized it, you'll know that it'll be a nightmare without a co-driver with you. On a more normal situation, if there was some accident happening with no emergency lanes, you will not react fast enough for stopped cars and you can kiss your ass goodbye.
2) This is also LHD. In the US you can turn right on a red light because the lane is on the right. Proper clearing procedure is look left, right, and then left again. Now, if it's RHD, you will not see what's on the right. While chances are low, there will be cars using the wrong side of the road for whatever reason. But because you can't see anything on the right, for a 80 year old American lady this could create so much fear, she won't feel safe when she drives.
The 2nd one is a little bit extreme, but think of the first one thouroughly.