LuaLaTeX で bm パッケージが動けばいいね

ixbm.sty

%
% ixbm.sty
%
%% package declaration
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{ixbm}[2016/06/15 v0.3]
\def\ixbm@pkgname{ixbm}

%% preparation
\RequirePackageWithOptions{bm}[2004/02/26]
% environment check
\ifx\directlua\@undefined
  \PackageWarning{ixbm}{The engine is not LuaTeX}
\expandafter\endinput\fi\relax
% Lua module
\directlua{ixbm = ixbm or {}}

%--------------------------------------- Allez(1)

\begingroup
\catcode10=12 \endlinechar=10 %
\let\\=\relax \let\%=\@percentchar %
\directlua{
  for cc = 0, 255 do
    local mcl, mf, mcc = (unpack or table.unpack)(tex.mathcode[cc])
    if mcc < 256 then
      local mcd = mcl * 0x1000 + mf * 0x100 + mcc
      tex.print("\\global\\mathcode"..cc.."="..mcd.." \%")
    end
  end
}%
\endgroup%

%--------------------------------------- Allez(2)
\begingroup
\let\@@else\else \let\else\relax
\catcode`\"=12

%% check for \mathcode anormaly
\mathcode\z@="1234
\ifdefined\luafunction \ifnum\mathcode\z@="2200034
  \global\let\bxMathcodeQuickFix=t
\fi\fi

%% fix for \mathcode anormaly
\ifdefined\bxMathcodeQuickFix
  % patch to \bm@test@token
  \def\next#1\bm@delimiter\else\bm@mathchar#2\ixbm@nil{%
    #1\bm@delimiter\else\ixbm@mathchar##1#2}
  \toks@\expandafter\expandafter\expandafter{%
    \expandafter\next\bm@test@token{#1}\ixbm@nil}
  \edef\next{\gdef\noexpand\bm@test@token##1{\the\toks@}}
  \next
  % \ixbm@mathchar
  \gdef\ixbm@mathchar#1{%
    % NB. here the mathcode value cannot be "math-active"
    \ifnum`#1<\@cclvi \ifnum\count@>"7FFF
      \luafunction\ixbm@correct@mc
    \fi\fi
    \bm@mathchar}
  % Lua stuff
  \newluafunction\ixbm@correct@mc
  \begingroup
    \catcode10=12 \endlinechar=10 %
    \let\\=\relax \let\%=\@percentchar %
    \directlua{%
      lua.get_functions_table()[\the\ixbm@correct@mc] = function()
      local mcd, mf, mcl = tex.count["count@"]
        mf, mcd = math.floor(mcd / 0x1000000), mcd \% 0x1000000
        mcl, mcd = math.floor(mcd / 0x200000), mcd \% 0x200000
        if mf < 0x100 and mcl < 8 and mcd < 0x100 then
          tex.count["count@"] = mcl * 0x1000 + mf * 0x100 + mcd
        end
      end}%
  \endgroup%
\fi

\endgroup
%------------------- done
\endinput
%% EOF

test-ixbm.tex

\documentclass{article} 
\usepackage{ixbm}
\begin{document}
\[ (\bm{1},\bm{x}) = 2(\bm{\alpha},\bm{y}) \]
\end{document}