When I screw in the tremolo arm to my Fender American Performer Stratocaster, it is angled back a bit such that it is quite high above the strings when turned towards the neck, very close to the body when turned away and also hits the cable at the jack. The bridge is setup to float, so it's not flat against the body, where I would expect something like this to happen.

Here's a picture

The arm itself is not bend, it really seems like it goes into the bridge block at an angle. Is this not abnormal?

Should I angle the bridge even more? Or just learn to live with it?

I also bought these tremolo arm springs but I can't screw the arm in after inserting a spring. All this is quite disappointing since everything about the guitar except the trem is great.

When I screw in the tremolo arm to my Fender American Performer Stratocaster, it is angled back a bit such that it is quite high above the strings when turned towards the neck, very close to the body when turned away and also hits the cable at the jack. The bridge is setup to float, so it's not flat against the body, where I would expect something like this to happen.

The arm itself is not bend, it really seems like it goes into the bridge block at an angle. Is this not abnormal?

Should I angle the bridge even more? Or just learn to live with it?

I also bought these tremolo arm springs but I can't screw the arm in after inserting a spring. All this is quite disappointing since everything about the guitar except the trem is great.