Yea, make sure you get peace with the Hojo fast and work on an alliance with the Takeda. The Takeda are the power to be considered in the region, since the Oda pretty much HAVE to die fast, and the Hojo are restricted by the Imagawa and Takeda. Sometimes the Hojo break out, but more rarely I see them begin a break out, then get caught between the Date, Takeda, and Imagawa.
An alliance with the Takeda would be the most beneficial of any.