  This article aims at an integrated formulation of BSE's for 2- and 3-quark
hadrons under the Markov-Yukawa Transversality Principle (MYTP) which provides
a deep interconnection between the 3D and 4D BSE forms, and hence offers a
unified treatment of 3D spectroscopy with 4D quark-loop integrals for hadronic
transitions. For the actual dynamics, an NJL-type realization of DBchiS is
achieved via the interplay of Bethe-Salpeter (BSE) and Schwinger-Dyson (SDE)
equations, which are simultaneously derivable from a chiral Lagrangian with a
gluonic (Vector-exchange) 4-fermion interaction of `current' uds quarks,
specifically addressing the non-perturbative regime. A prior critique of the
literature on various aspects of the non-perturbative QCD problem, on the basis
of some standard criteria, helps converge on a BSE-SDE framework with a 3D-4D
interconnection based on MYTP. This framework is then employed for a systematic
self-contained presentation of 2- and 3-quark dynamics on the lines of
MYTP-governed DBchiS, with enough calculational details illustrating the
techniques involved. Specific topics include: 3D-4D interconnection of qbar q
and qqq wave functions by Green's Function methods; pion form factor; 3-hadron
form factors with unequal mass loops; SU(2) mass splittings; Vacuum condensates
(direct and induced); Complex H.O. techniques and SO(2,1) algebras for Baryon
Spectroscopy; plus others. PACS: 12.90.+b ; 11.10.St ; 12.70.+q ; 12.38.Lg
