When I push down on each side of the car there is some movement 1/2 to 3/4 inch tops.
That's expected. The springs are rared at ~500lbs/in. So, if you eat
many Big Macs and get to a weight of 500lbs, the sit right on the top of the strut, the springs will compress ~1". Since they weight/force is also distributed/spread to the other springs, it would be less. However, if you now take your 500lb fat ***** and stand on the left front bumper, you get leverage. Som the left fender should go down by more than 1".
If you push on the fender, depending on where you push, and how many Bog Macs you ate on your
weigh to 500lbs

, the fender height will go down ~1/4 to ~3/4".
So, is there strut movement or not?

Because from what you described, it sounds fine.
Another Question: 
If you STAND on the left front bumper corner, and JUMP off.
Then, how many times will the left fender/strut/suspension bounce? It should go back UP, down a little, up a little, slight shake. It should stabilize in under 2 seconds. You may need either someone else watching, or a good video camera. Just be careful when you jump off.
The car still has stock springs and suspension.
That's good news!
I was afraid that you recently put on Eibach springs that lower a "Stang" by ~1.75". Yea,
MY *SSSS! IMHO, get a ******ing tape measure,
take a picture and post it with the tape measure, then tell me that your car is lowered "xyz".
You have a vert. That lowers the car even more.
If you have an auto, that lowers the car even more.
If you have a 3-core radiator, that lowers the car even more.
**** If you have an 85/86, that lowers the car even more because of the K-frame, FCA mounting points, etc.
If you don't have the correct rim and tire combo for the stock tire diameter (many don't because the wider tire causes rubbing issues), that can lower the car even more.
If you don't have isolators on the top/bottom of the springs (many of the lower ones are completely worn out), that lowers the car even more.
I think you get the idea.

So, you get a
ton of posts about how someone has their care lowered 1" to 1.5". I look at the pictures, and I can tell that's pure BS. It's more like 1.5" to 2". FORD knew that lowered the car and chassis that they designed more than ~3/4" greatly hurt handling and suspension performance.
Then again, who you going to trust? Engineers with 20+ years experience (many with PhDs), millions of dollars in specialized simulation software,
MANY millions of dollars in test/measurement equipment, etc.
Or, some interweb jockey that didn't even get take High School physics?
Hmm, screw Jack H of MM. After reading the forums, I'm going to lower my Stang by 15" and kick his and everyone's punk ****s on the track!
BTW: Someone found a copy of the old Ford part listing for the stock OEM springs for a Fox Stang. As people that worked at Ford dealerships have said a zillion times, and got sick and tired of people telling them they were wrong <rolleyes>, Ford had different OEM, as built from the factory, springs for 5spds, autos, verts, etc.
Yet, I'm sure that you'd have no problem finding posts in forums saying that someone put Bullitt springs on their Fox Vert Automatic and saying that it lowered the car by ~3/4". Sigh.....
Good Luck!