Re: Facilitated naturalization
No, the language shouldn't be an issue. Only they can decide if your ties are close enough.
Why would it be better for you to have citizenship though? New Zealanders can come and live/work here with prior approval from the Swiss authorities and you don't even need to apply for an entry visa.
"Nationals of the following states do not require a visa to enter Switzerland under any circumstances: Brunei, Japan, Malaysia, New Zealand and Singapore.
However, the competent Swiss authority will issue a prior authorisation of a residence permit in the following cases:
a) for a stay of more than 90 days, or
b) a stay involving gainful employment:
lasting more than eight days, or
from the first day of work in the primary or auxiliary construction sectors, the hospitality sector, industrial or private cleaning services, surveillance and security services, itinerant sales and services or erotic services.
This prior authorisation of a residence permit is issued directly to the foreign national, or to a third party (employer), by the cantonal migration authority. The Swiss diplomatic or consular mission is not involved in this procedure."
Just contact the cantonal migration office where you plan to live and they'll tell you how to apply for the pre-approval of a residence permit.
Of course if you want to get Swiss nationality then go ahead with the application, but it's not going to be necessary for you to be able to move here.