Those statements are both true, but: Neoliberalism dominates both political parties in the United States and has for generations. The Democratic Party is also neoliberal, (often in spite of their voters.)
The Republican Party’s neoliberalism has fostered fascist and christian nationalist factions to the point they may take over.
The Democratic Party’s stance has been to try and absorb disaffected Republican neoliberal voters from the above.
Which leaves ‘non-neoliberal American liberals’ with the choice of supporting… well it is and has been a successful right wing strategy to say the least.