A 6.5 crank and rods in a 6.2 will get you a 6.2. There is no difference between the stroke of the crank or length of the rods between either motor.
This is absolutely incorrect, as I found out when I did my build a while back. The stroke on a 6.2 crank is 3.80", while a 6.5 has a 3.82" stroke. Rods are identical. The added stroke doesn't affect displacement much, but the compression height is different between 6.2 and 6.5 pistons. The result is that 6.2 pistons will sit .010" higher out of the hole vs. a 6.5 piston. This ends up being a big deal. You can use the .010" thicker head gasket on an unmilled block to compensate, but you will still have stock 21.3:1 compression.
I would also add that depending on the year of the 6.2 block a 6.5 crank with a 1 piece rear main seal will not fit in an early style 6.2 block.
This is correct, but a 1 piece crank can be modified to fit in a 2 piece block.
The difference in displacement between the motors lies soley in the bore.
Nope, although the bore is responsible for most of the difference.
As for the OP's question about compression, as a rule every .010" you reduce in compression height will lower your compression approx. 1 point. Since 6.2 pistons were never hard anodized you can mill the crown down .020" to get roughly 19.3:1 compression. Another method is to call up Cometic and order a set of thicker head gaskets. You can also have either end of the rods offset bored to reduce the overall rod length .020". This will make an insignificant change to the rod-stroke geometry while giving you the increased compression height. Keep in mind that if you are using a 6.5 crank you will need to remove an additional .010" to compensate for the slightly increased stroke, so you would need a reduction in compression height of .030" total. You can either get the extra .010 at the same place you are getting your .020", or you can use the .010" thicker head gaskets (assuming you don't deck the block).
One other alternative is what I did. I unshrouded the area around the valves, and the added combustion chamber volume gave me 18:1 compression. You could have this done to a slightly lesser extent to get the 19.5:1 that you want.
Finally, fallout232 is correct that an otherwise stock engine with nothing other than lower compression isn't going to live long at a sustained boost level of 15psi. Intermittent, yes (assuming EGT's stay in check), but not continuous.