I have dieted a fair bit, I went from 140kg to 85kg once.
You probably already know sticking to a diet is important. Doing weights will make you a little hungrier, you'll be able to bump up your calories slightly and continue to lose weight (this goes for adding any activity).
As for strength it will go up slowly for a while as you continue to diet, then it will remain at that point for some time - until you finish dieting. Will muscles be very impressive by this point? Not really, but you'll get stronger. Would I do it anyway? So long as it doesn't stop you dieting, and if you'd like to, yes.