I am a woodie 
They do have quite strongly left-leaning origins but they won't have your Toddlers singing the Red Flag, don't panic!
Ethos is very much about cooperation and friendship. International links with lots of other lefty youth groups. Emphasis on outdoor activities, crafts, lots of running around in teams, camping, hiking etc.
I was a downright strange slightly eccentric child and I think I would have struggled in a more strictly organised group. I now look back and realise how accepting and flexible our leaders were. I also think that the structure of WF groups is really empowering to children - they are expected to be involved in decision making. A good early insight into the pitfalls and advantages of collaborative decision-making.
It may also be a consideration for you that WF are completely inclusive wrt faith / beliefs etc. Atheists don't have to fudge it, there are no oaths to the queen etc. the closest we had to a "pledge" was a song at the end: "Link your hands together, a circle we'll make, this bond of our friendship, no power can break, we'll all sing together, in one merry song, should any be weary, we'll help them along, should any be weary, we'll help them along!" Rather sweet really 
IME there is, however, a pretty wide variation between groups in terms of their lentil-weaveryness. However, be aware that to most children the woo will be like water off a duck's back!