fuelevaporator, sorry to disappoint you, but this has already been thought of and extensively tested in the 1970s.
RAE Bedford (BLEU/Flight Systems) conducted steep approach and landing trials, and two-stage (segmented) approaches with HS 748 and BAC 1-11 aircraft.
Some of the tests were in conjunction with the FAA, and sought solutions for B727 / Trident size aircraft during regional operations. Tests were extended to 1011 sized aircraft and used MLS for approach guidance.
The general findings were that 748 / 1-11 aircraft could autoland from 5-6 deg straight in approach – demonstrated with use of MLS, but heavier aircraft needed to change to a flatter approach at a suitable point. The absolute minimum for this was 300ft with autopilot/autothrust control, but for manual flight a 1000ft changeover was required. These values also considered combinations of steep, curved / segmented approaches. Some tests were flown at LGW and IIRC, LHR when experimental Doppler MLS was installed.
Whist the conclusions confirmed practicality and showed many noise benefits, the implementation requiring precision approach aids (MLS), matched lighting, revised airspace, and co-ordination with non-compatible aircraft, prevented implementation.
Also there were on-going engine and airframe noise reduction programs which showed similar benefits.