Should I remove my front gate?

You sound like my therapist
 
I would keep the gate, never hurts to have extra layer of security to front door.

If you need to improve curb appeal, maybe add a decorative screen like
image_99a1711.png
 
What was the original reason for installing the gate? Has that threat vector changed?

When I bought the house it had a gate that was much more flimsy and looked bad, and the front door had a big pane of glass and was not very strong overall so the gate was really needed IMO

When I replaced my driveway gate I got the same place to do the front gate, and it was pretty cheap because they were already coming out

Since then I've replaced the front door, and installed the screen door

You could try just removing the gate and leaving the sides there.

Sadly very hard, the hinges are welded into the frame, I'd probably just cut out the entire thing but leave the section the mailbox is mounted to
 
How about 1 of these?

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I've seen so many movies where perps are attacking and as the victim is trying to unlock the doors, they drop the keys. If you had a remote on the gate, you could get in and if you even drop the keys, you would be safe. Unless of course firearms were involved! That was never covered in the movies!