Actually, Congress voted almost unanimously to give President Bush the Authority to Use Force (the AUMF) in Afghanistan and later in Iraq (the Senate, including Hillary Clinton, voted in favor, but you claim you voted for her, so you know, right?)
President Obama authorized air strikes in Libya to support the uprising against Ghaddafi starting in early 2011. Three months into military action in Libya, the Obama administration released a statement that they did not require Congressional approval.
https://www.washingtonpost.com/poli...ional-approval/2011/06/15/AGLttOWH_story.html
So no, you're wrong, a republican congress did not approve Obama's military action in Libya.
I'm no fan of the Bush wars, but Obama is equally responsible for expanding a bunch of the programs he ran against: drone strikes, extraordinary renditions, the war in Afghanistan aka "the good war". He even authorized the murder of a US citizen despite a lack of due process and it being a direct violation of the constitution. Again, the two party system is a sham, and has given people like you the illusion of choice.