When you two have quite finished sniping at each other...
I'm coming at this from the other direction, taking up piano seriously as my fifth instrument, to flute, piccolo, clarinet and voice. Having another instrument helps you learn another - the nice thing about being a woodwind player by training is that it gives you a great sense of phrasing, because you have to shape your phrases with how long you can sustain your breathing and tone.
I've found the downside is that it's hard to find 'starter' books if you're already a trained musician, if you don't want books that are going to teach you to read basic music along with basic technique on the instrument, you'll struggle to pick your initial repertoire and/or exercises on your own. You either need a good teacher who understands that you need to learn technique, not music, or to cultivate friends who play the instrument well and don't mind advising you.
That aside, go for it! Violin's a good instrument if you want to play with orchestras, string players are always at a premium, it'll help you make loads of friends!