LC practice is to consider expressions like "Forename1 ha-mekhuneh Forename2 Surname" as falling under the provisions of RI 22.2A, which directs us to omit the nickname in formulating the heading.
Example:
ID:NAFR991698 ST:p
EL:n STH:a MS:n UIP:a
TD: 19990120051620
KRC:a NMU:a CRC:c
UPN:a SBU:a SBC:a DID:n DF:01-15-99
RFE:a CSC:c SRU:b
SRT:n SRN:n TSS:n TGA:?
ROM:? MOD:
VST:p 01-20-99
010 nr 99001698
040 CSt-HC$cCSt-HC
100 1 Pineles, Hirsch Mendel ben Solomon,$d1806-1870
400 1 Pinele's, Tsevi Mena.hem,$d1806-1870
400 1 Pinele's, Hirsh Mendl,$d1806-1870
400 1 Pinilish, Tsevi Mena.hem,$d1806-1870
400 0 Tsevi Mena.hem,$d1806-1870
400 0 Shalosh,$d1806-1870
670 Sefer Darkah shel Torah, 1969?:$bt.p.
(Tsevi Mena.hem ha-mekhuneh Hirsh Mendl Pinilish)
670 Ency. Judaica, c1972$b(Pineles,
Hirsch Mendel ben Solomon (known as Shalosh), 1806-1970; Galician scholar
and writer)
------------------------
Another example is that of "Eli'ezer ha-mekhun. Lipman
beha-r. R. Menahem Maneli, zal, mi-k.k.
Zamosht."
An informal survey reveals that LC practice has been to
resolve this as "Lipman, Eli'ezer."