I don't know, I liking the odds even if they might be favorable. The GOP, especially House GOP, hasn't been to honorable when dealing with Trump. They've been doing this thing where they verbally denounce Trump but turn around and throw their hands up when its time to act becauses these no current legal precedent and/or they refuse to deliberate on one. The way the Trump administration has handled information security is arguably a national threat and the House hasn't do so much as told him to tighten up but Clinton's emails were all the rage! Because House this thing where they use the absence legal obligations (something that says they must question x or lose their job) to impose checks on Trump to say "there is nothing they can do". What happens if Trump has Mueller fired, how do they sleep at night knowing they just sold out the country?
They start by saying, "Well Trump didn't fire Mueller, Sessions did." (It would probably be Rosenstein being forced out and some shill actually firing Mueller but we know where the order came from). They would say, "Well what protection does special council actually have?" without ever opening an actual investigation into the matter. Then they'd say, "Well Mueller was actually out of line because of <insert x dumbass argument such as having 15 Democrats on his team, some conspiracy to protect the FBI, etc> but its not like we're make Mueller testify against these accusations". They even might say something like, "Well none of Muellers current charges point towards collusion" while using the worst possible definition of collusion that they can fine. Then elections will come and go, a bunch of them will lose their seats, a bunch of them will say how they actually supported Mueller and it was a miscarriage of justice that no one protected Mueller's investigation; ignoring their own personal responsibility in the process.
Thankfully Mueller is strategic and probably planned on being fired months ago. Trump's inexperience allowed Mueller to last this long and because of that Mueller probably has a solid contengency plan. We already know about him filing charges via New York to get around Trump being able to just pardon convictions. I'm willing to bet Mueller has something bigger up his sleaves, something a bunch of sideline spectators who never walked pasts a law school could ever come up with.