If that were mine, I'd "tighten" the loose nut(s). Either they actually tighten, and the loose clamp is no longer a problem...or the clamp breaks. If the clamp breaks, you buy a new clamp just like it, tighten it like it should be, and walk away before you screw something up.
Welding this is just a waste of money. A proper clamp is all this needs.
When you buy a new clamp, be sure to tell the parts dude that you want a "heavy-duty" clamp, not a light-duty clamp. Light-duty clamps are for use with exhaust hangers, they just secure the pipe to the rubber mount. Heavy-duty clamps are intended to crush the outer pipe to the inner pipe to make a gas-tight seal. In other words, you're buying a U-bolt that takes 3/8-16 thread instead of 5/16-18. Significantly stronger.