pariahhood or pariahdom or status of pariahs
First, define pariah. The Free Dictionary says:
A social outcast: "Shortly Tom came upon the juvenile pariah of the
village, Huckleberry Finn, son of the town drunkard" (Mark Twain).
The Free Dictionary (link above) explains the origin of the word pariah. Breifly, the word comes from Tamil, and refers to a specific group which had very low caste in the Indian caste system. English travelers to India began to use the word in this sense as early as 1613. With the expansion of British colonial power in India, pariah came to mean any low-caste Indian, and "By the 1800s, pariah had come to be used of any person who is despised, reviled, or shunned."
Pariahhood is the state of being a pariah, and is a word in the Oxford English Dictionary. I give the
definition in total, because you may not be able to use the link.
Origin: Formed within English, by derivation. Etymons: pariah n.,
-hood suffix.
Etymology: < pariah n. + -hood suffix. Compare pariahdom n.,
pariahism n., pariahship n.
Thesaurus »
= pariahdom n.
1907 Oakland (Calif.) Tribune 16 Nov. ii. 14/1 Thus far no denial
has been heard from the Mayor, and that silence is all that saves
Biggy from political and official pariahhood.
1936 W. Faulkner Absalom, Absalom! 334 Rode the two horses through
that night..in something very like pariah-hood.
1994 N.Y. Times (Nexis) 27 Sept. c16/3 The artist's grievances
extend well beyond high-school pariahhood.
2001 Washington Post (Nexis) 3 Sept. a21 Its political pariahhood
in danger of being resurrected
pariahdom, again from the OED and again quoted in toto because you may not be able to use the link:
The state or condition of a pariah or outcast.
1877 J. A. Symonds in Cornhill Mag. Nov. 456 The men of whom I
speak were conscious of pariahdom, and eager to be martyred in the
glorious cause.
1894 Work & Workers June 258/2 Ostracism from the class carries
with it..hopeless, entire pariahdom.
1906 W. J. Locke Beloved Vagabond (1908) vi. 68 They walked on
together, and I dropped behind, suddenly realising my pariahdom.
1945 R. Hargreaves Enemy at Gate 19 This choice aggregation of
desperadoes and ‘poor masterless men’, welded into that solidarity of
pariahdom which is the outlaws' primary source of strength.
2000 Guardian 3 May i. 3/7 For Libya the prize was an end to
pariahdom
You said that you might restructure the sentence. You could say:
Instead of physical obstacles, both are faced with societal resistance
and the status of pariahs.