I was in a similar situation until a few months ago. I upgraded to 5D3 from a 40D, and I also own a 50/1.4 and 35L at that time.
When paired with 35L on the 5D3, sometimes, it gets a little short for street photography. But at a same time, you gain more information on the wide side. Packing more information into frames is more appealing to me. I guess it is a matter of personal preference. I ended up selling my 50/1.4 and keeping the 35L, because with 35L, I use it to shoot wide open. The 35L beats the 50/1.4 hands down at aperture 2.2 and below.
Even though the 35L urgently need an update, I still don't understand why people are bashing it so greatly. After all, it is still a very good lens, at least to me and my shooting style. If you love doing fancy dining and taking food pictures, it is very hard to do that with the 50/1.4 due to the 1.5' MFD. I initially bought the 50/1.4 for this purpose, but noticed focusing is hard when you are sitting at the table, and you have to stretch far away from the table to get shots. The 35L is the answer for this, works perfectly on the 40D and now the 5D3 with only 0.98' MFD.
For wide open, you will love the 35L. It is an old lens, but why look at the age of your tool if it is able to give you results that you love?