340 Motor with 360 heads?
From the pictures, it looks like the crank has the normal factory balancing holes drilled in the counter-wieghts. The balancer may have similar holes for balancing. Rumblefish360 is correct in the the 360 cast into the head doesn't mean that the heads are from a 360. You have to look at the 7 digit casting number to determine exactly which heads that you have. The "J" had 915 for the last 3 digits. There is a large "J" cast into the head between the spark plug hole pairs. These heads came with either the 1.88" intake valves or 2.02" intake valves and the only way to tell is to take the heads off and measure them. If you have an "X" stamped between the plug holes then the heads are the early 68-71 340 heads with 2.02" intakes.
When you said that the intake didn't fit the heads, what did you mean by that? Which Edelbrock intake is on it? I did notice that the rocker arm adjusters are out quite a bit. That would indicate that either the block or heads, or both, have been cut or that the pushrods are a little too long for the application. You need to check that the cup part of the pushrods aren't hitting the underside of the rocker arm during it's movement.
Ken
Edison, NJ