Musk isn't a right winger. He is a moderate, a 90's Democrat, basically, just with a bit more patriotism (about the West in general, not just America) dashed on top. For him to turn Twitter into a right wing echo chamber would mean he'd start banning left wingers, which he has given no intention to do. Again, he's a moderate, not a right winger.
All conservatives expect him to do is put in place policies that protect their freedom of speech on issues such as abortion, crt, religious freedom, lower taxes for all not just the poorest, working to be successful rather than expecting government handouts which are paid for by the overtaxed middle class, right to arm and protect ourselves from would be aggressors, and many other conservative views. It seems like every couple years a legitimate conservative viewpoint shared by tens of millions of Americans, sometimes even 100+ million, is suddenly ostracized as a Nazi view that should be banned from everywhere by an extremely vocal minority of online forum warriors and extremely influencial big Tech companies controlled by the far left.
Agree he is definitely not a conservative person in the "old" sense of what conservative is. He is more of a 90's 00's democrat yes, but you need to remember the left has gone way to the left in the last one or two decades to the point that liberal people like Tim Pool and Joe Rogan are almost alt-right Nazis. Anyway I really like him. His story with Tesla and Space X are really amazing.
My expectation for twitter with him on board is that at least it allows certain things to be discussed, for people to be able to show their opinions when it is not the far left mainstream opinion. Also to end this thing of burying some news and facts under a rock, not allowing them to be discussed under the excuse of "fake news", "debunked" by "independent" fact checkers. There will be elections in a few months in US, let's see if something will change.
Also, consistency when deciding who gets banned.