You should tab those out, also if you're going to get serious about sweeping invest in a noise compressor. Even Yngwie said it saves his ass.
Eh you seriously should not have that much slop on a guitar that is so thin necked. If you were playing a less I could understand sweeps being a little messy but I mean you should practice them on clean and get used to muting the strings you aren't playing so you can get that crisp sound that eric johnson has. Just me input... also I mean it is lead so half of the people who can't play lead will tell you that is great but I am telling you to practice more to avoid being lazy.