BV P.215 Supersonic Evolution/Reinvention Anybody?

[dy031101]

Blohm & Voss BV P.215 (additional excellent fanarts here) is among the aircraft I feel eternally fascinated by- unconventional wing planform, seats three, designed to be easily-built and -assembled, to name a few of its projected qualities......

I just can't help to wonder...... like the development from F-86 to F-100 or MiG-17/J-5 to MiG-19/J-6, what can we do to evolve or reinvent this machine into a supersonic fighter?

Of course we can take the development of high-performance turbojet engines, not to mention afterburners, into account.  What other aerodynamic consideration would you suggest?  Increased wing sweep?  Longer fuselage length with respect to the wing span (I think there is a term to describe it, but it keeps eluding me)?  Anything else I've missed?  Thanks in advance.