Does 与 change the meaning of 用中文与我联系不是一个好主意?
与 means together or with.

用中文与我联系不是一个好主意 = use + Chinese + with + me + contact + not + good + idea

The 与 here is not necessary.

In fact, 用中文与我联系 can be better written as 用中文联系我 which means contacting me in Chinese. 

In English you probably wouldn't write contacting with me in Chinese and it's the same here in Chinese.



Sidenote: the only reference I found to "用中文与我联系" online is from a Japanese guy Dr Taku Fujiyama


  如果您对我的研究有兴趣， 欢迎您用中文与我联系。