This is a common enough issue, I have done it many times, the inner thermal has no bearing on the structural integrity of the outer lense, in fact you can remove the inner thermal altogether if you want to, then you will have a single pane lense. As long as you don't use any type of glue, you won't have to worry. Again, I can safely say, there is no harm in doing this. I have suggested this in prior threads and get similar answers from different people who are just content with paying for a new lense instead of using common sense. I get people fearing that which we do not fully understand, BUT, they are your eyes, so do what suits you. I just say Why throw away a perfectly good lense? What if it gets water in it? Throw it away? Or use your knowledge and experience to fix it? It's clear the OP hasn't dealt with this before, thus the question, I offer my answer from experience which is worth what it's worth.
"Originally posted by PBMT: Oh, and btw, you worrying about grammar on internet forums is like watching a special olympics race judge yelling at a contestant for going outside of his lines on the track...no one cares and you look like an idiot doing so."