If you really like the flag, you should be proud to live in a country where you can say "Everybody here has the right to burn the flag if he wants to, but they're not! Look around, and you'll see it flying everywhere." You shouldn't have to make a constitutional amendment for something 99.99% of the country would never even think about doing. Flag burning isn't really rampant in this country, you know.
Plus, a law against flag burning would be completely useless. People will find ways to desecrate the flag if they want to besides burning it. Then you'll have to pass laws against cutting the flag up into little pieces, against eating the flag, against throwing mud at the flag, against putting the flag on the ground and stomping on it, against flying it upside-down, etc etc etc. And what constitutes a flag anyways? Would it be legal if it had 12 stripes and wasn't really the American flag? Or how about this flag? Can I burn a picture of the flag? Can I burn a picture of a burning flag, to show my distaste in anti-Americanism? Can I melt a plastic flag?
I'm not saying I want to do any of those things (even though I really don't like the current US government, I'd prefer to just talk about it because burning flags does nothing but piss people off). But this flag burning amendment flies in the face of the basic human right to freedom of self-expression. You should be able to express yourself however you like so long as you don't harm anyone else or anyone else's property. If you don't like flag-burning, don't burn flags or hang around people who do. Besides, people are still at liberty to burn the Seal of the President, to burn a pile of the 50 state flags, or to burn an effigy of the Statue of Liberty, so these attempts to silence dissent are not only contrary to the very freedoms the American Revolution was fought for, they're pointless.