Would evening out the bridge make my nose look noticeably uneven from the front? (Photos)

It is indeed possible to reduce the hump on your nasal bridge while not making your nose on frontal view look uneven. Your current nasal configuration likely reflects a childhood injury or sport injury wherein your nose was hit from the right side, which is why your nasal bone on the right is in, and your nasal bone on the left is out. I often correct such configurations during rhinoplasty surgery, and I would expect a very successful result in your case. 

Hello and thank you for the question and sharing your photos. I believe you are a good candidate for rhinoplasty. You have a small dorsal hump, a wide boxy tip, and septal deviation. You will benefit from reduction of your dorsal hump and nasal tip refinement.My best advice is that you discuss your concerns and aesthetic goals with a board-certified plastic surgeon with extensive experience in performing rhinoplasty. I would ask to see before and after pictures of their real patients. It's important that you trust your surgeon's skills and ability to achieve the results you are looking for. In particular, pay attention to your surgeon's experience with rhinoplasty. Best,
Pejman Aflaki, M.D.

Johns Hopkins-trained double board-certified plastic surgeon

it appears from your picture that your nasal pyramid is deviated to the left. Picture the nasal bones like the A frame of a house. Now picture the A frame of the house shifted to the left. one would need to correct this to help straighten your nose. You would also need a physical exam to determine if there is anything else contributing to your crooked nose. I incorporate the FINNESSE technique (which I developed.) I typically do not pack the nose. Recovery is quicker versus traditional Techniques. (Please see the nose patient ten days out video on our page.) I hope you find this information useful. Please see the enclosed video. 

Hello,
Based on photo you provided, you seem to have a hump, it can be removed and you can have straight  and overall slimmer nose, your tip can be lifted up slightly as well.
Your goals are achievable in the right hands, you need to seek a professional surgeon. Piezo technology, which is the latest, can provide maximal healing and protect your soft tissues.
You need to seek a professional facial plastic surgeon to achieve the best result.

Hi and welcome to our forum!
From your photos, I note that the mid 1/3 of the nose is displaced from midline. The bridge is minimally high. 
With a rhinoplasty, the nasal bridge will be straightened and the bridge slightly lowered with care to achieve the best symmetry possible. As you otherwise satisified with nasal appearance, nothing else needs to be done.
Visit a board certified plastic surgeon for in-person evaluation and discussion.
Best wishes...