If you think that sort of thing "sorts itself out", you need to think again.
Your PC is infected. No ifs, ands, or buts about it. The pop-ups and system slowdown were clue enough. The fact that your NAV has been crippled is the equivalent of a huge "you're infected" sign with flashing lights and fireworks. One of the very first thing many infections do is shut down Norton's functionality. That assumes that you have kept up your subscription to the program; if you allowed your license to expire, then it's not protecting you at all.
Sitting there hoping the problem will just go away is the worst thing you can do, because eventually your computer is going to be so badly crippled that you will have no choice but to wipe the hard drive clean and reinstall Windows. Today's malware doesn't just sit there. There are programs that are installed that reach out on the internet and get more programs to infect your PC.
If you have access to another computer, download
Malwarebyte's Antimalware and
SuperAntiSpyware. You can install Malwarebyte's Antimalware in safe mode. To get there, use the F8 key when your computer is first starting up, before it begins to load Windows. When the startup options menu appears, choose "safe mode with networking", so that you can update the virus definitions after installing MA.
Run MA scans in safe mode until it no longer finds anything. Then restart and continue into Windows normally. Install and run SuperAntiSpyware until it no longer finds anything. With luck, by the time you finish, your NAV should be working again. Run a scan with that to see if it finds anything the others missed.
Complete scans (which is what you should be doing) can take two or three hours each, depending on the size of your hard drive and how much is on it. The entire process can take two days or more, depending on how much time you can devote to it daily.
SuperAntiSpyware also has a number of repair tools to reset computer policies and fix other things that have been altered by malware, so it's a dead useful program to keep on file.
To answer your question: No, there is no way to turn off MSIE. The way you "turn it off" is to just not use it. When you install another web browser, it'll either automatically set itself as the default web browser, or ask you if you want it to be when you first use it.
Firefox is a very good browser, but it isn't quite enough by itself anymore. If you want to really cut down on the chance of getting a drive-by infection from poisoned web sites, install the Firefox add-on "NoScript" and read the instructions carefully to learn how to use it right.
Drive-by infections are one of the top threats to computers these days, and they don't care what OS you're using. They are not just a threat to PCs, they also have the potential to affect MacIntosh and Linux boxes.
I still get a giggle out of the fact that Apple spent hundreds of thousands of dollars advertising that their computers were "virus-proof"... only to have to eat the words when recently an Apple executive (not nearly so publicly) said that
Apple recommends the use of a good antivirus program on their computers.