The Model 66 also has the ejector shroud that a 67 lacks.
The .357 Magnum chambered Model 65 is a closer match for the Model 67.
No and no.
Well, let me rephrase. The 67 is built to be a .38 Special. The cylinder is the proper length and the barrel extends into the cylinder window to meet the cylinder. The 66, on the other hand, has a slightly longer cylinder to accept the longer .357 cartridge, and the barrel extension is shorter.
You could convert it, but it would require either a new barrel plus cylinder or a cylinder and the barrel cut at the forcing cone end and the cone re-cut. Easy enough for someone with the proper skills and tools, not so much for most others.
A while back, I had a Model 10 converted by a gunsmith from a 4" 38 to a 3" 357. It works fine, but I seldom if ever use 357s. The reason for my conversion started out as barrel only but got a little carried away. Long story.
So, the frame is the same, the difference is the barrel and cylinder then?
When I measure the cylinder, it appears that you could ream the cylinder out to 357 mag. Chambered rounds would be awfully close to the end of the cylinder however.
Rosewood
Some folks think the Security Six guns are more durable than K frame Smiths.
Think before I did that, I'd handload something on the order of duplicate .38-44 cartridges. (158 gr hardcast LSWC or LSWC-HP's @ ~1200 fps).
Load those a lot for my .38-44 HD, use them in other .357's and have shot them in M10 .38's.
In field performance, I daresay there's not much difference between them and OTC .357 ammo, other than if the desire is light/fast JHP's.
If you'll compare the thickness of top strap of a Ruger Security Six to that of a K-frame, you'll see the difference, you won't have to measure it. Many years ago, I carried a Security Six Stainless as a police duty gun, as the cost and availability of a Model 66 was beyond my means. I still have that Security Six and trust it today to shoot full power .357 Magnum ammunition.
I feel exactly the same way about cylinders.I find it hard to believe any modern frame received a inferior HT when it would be no more trouble or cost to HT them all the same.