Alcatel Onetouch Idol 3 won't work with bluetooth
Wi-Fi and Bluetooth both operate in the 2.4 GHz frequency band.  As such, interference is to be expected; it's not your particular phone.  Here is an interesting paper on it.

You could see if your home Wi-Fi router supports the 5.0 GHz band, and switch to using that exclusively.  You could also try changing the Wi-Fi channel.