By RAW (Rules As Written) it looks like Wild Empathy would give be 1d20 +2 (Ranger) or 1d20+1 (Druid), but not 1d20+3.
Wild Empathy is an Extraordinary Ability as is Sneak Attack. Sneak Attack specifically states that it stacks, Wild Empathy does not.
From the PRD:
Druid:
Wild Empathy (Ex): A druid can improve the attitude of an animal. This ability functions just like a Diplomacy check made to improve the attitude of a person (see Using Skills). The druid rolls 1d20 and adds her druid level and her Charisma modifier to determine the wild empathy check result. The typical domestic animal has a starting attitude of indifferent, while wild animals are usually unfriendly.
To use wild empathy, the druid and the animal must be within 30 feet of one another under normal conditions. Generally, influencing an animal in this way takes 1 minute but, as with influencing people, it might take more or less time.
A druid can also use this ability to influence a magical beast with an Intelligence score of 1 or 2, but she takes a –4 penalty on the check.
Ranger:
Wild Empathy (Ex): A ranger can improve the initial attitude of an animal. This ability functions just like a Diplomacy check to improve the attitude of a person (see Using Skills). The ranger rolls 1d20 and adds his ranger level and his Charisma bonus to determine the wild empathy check result. The typical domestic animal has a starting attitude of indifferent, while wild animals are usually unfriendly.
To use wild empathy, the ranger and the animal must be within 30 feet of one another under normal visibility conditions. Generally, influencing an animal in this way takes 1 minute, but, as with influencing people, it might take more or less time.
The ranger can also use this ability to influence a magical beast with an Intelligence score of 1 or 2, but he takes a –4 penalty on the check.
Master Spy:
Sneak Attack (Ex): This ability is exactly like the rogue ability of the same name. The extra damage dealt increases by +1d6 at every third level (1st, 4th, 7th, and 10th). If a master spy gets a sneak attack bonus from another source, the bonuses on damage stack
Emphasis is my own.
RAW could be argued that it doesn't stack.
As a GM I would absolutely let it stack.
If your going by RAW stacking is explained on page 13 of the core rule book.
Stacking: Stacking refers to the act of adding together bonuses or penalties that apply to one particular check or statistic. Generally speaking, most bonuses of the same type do not stack. Instead, only the highest bonus applies. Most penalties do stack, meaning that their values are added together. Penalties and bonuses generally stack with one another, meaning that the penalties might negate or exceed part or all of the bonuses, and vice versa.
So I would rule that no, unless otherwise stated those bonus would not stack and the player would only receive the higher of the two choices. In this case +2.
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I think that RAW it doesn't stack for the reasons that Itchy and rjchris2u posted.
However, as a GM I would also absolutely let it stack because it makes sense. It's a a minor ability that acts basically like a skill check. You don't have a separate Survival check for your druid or ranger levels, so it seems silly to require a separate Wild Empathy check.
Especially since the lack of the specific notation indicating that the abilities stack could easily be an oversight here - the Ranger and Druid wild empathy descriptions are identical except for the names of the classes (and the gender pronouns). Might have been copy-paste + find-replace. Would have been real easy to forget to add "these stack" to one or both abilities.