For the sake of your sanity (speaking from bitter experience) change the remote subnets.
I spent years using NAT to workaround just this issue, and with sites daisy-chained together over private circuits I'd got NAT(NAT(NAT))) going on in some cases! It took me about a day to completely renumber each LAN (about 65-70 PCs each + servers, switches, printers, router(s), etc) - I wish I'd done it years ago!