Avram:
If you live out of town, you just might be stuck with the neighborhood shul. As much as I disagree with your implication, you are entitled to your opinion and feelings. However, inasmuch as there is no issur, you need to decide whether you wish to daven there. To enter a shul, and then look to modify the patterns that have developed is problematic. Are you aware that Poskim discuss the choices of niggunim on Rosh Hashonoh and Yom Kippur? They are clear that changing a nigun is frowned upon, as something that has become ingrained in the tzibbur should be left alone. So, if you’re the newcomer, you are free to consider whether you wish to daven there or look elsewhere. If you’re out of town, that may be more difficult. Regardless, the other shuls might not be different.
As for R’ Shlomo’s behavior, no one can blame you for being repulsed by it. But his niggunim are not fraught with those behaviors or midos. Connecting the two may be your emotional reaction, but it is not halacha.
You can always choose to be a shaliach tzibbur, and you can then choose your niggunim.