1. Let $l$ represent the number of Lumix aliens and $o$ represent the number of Obscra aliens.
2. We are given two pieces of information:
- The total number of aliens is 60.
- The total number of legs is 129.

These can be written as the following system of equations:
$$l + o = 60 \quad \text{(1)}$$
$$4l + o = 129 \quad \text{(2)}$$

3. To eliminate $o$, we subtract equation (1) from equation (2):
$$(4l + o) - (l + o) = 129 - 60$$
Simplifying this, we get:
$$3l = 69$$
Solving for $l$:
$$l = \frac{69}{3} = 23$$

4. Substitute $l = 23$ back into equation (1) to find $o$:
$$23 + o = 60$$
Solving for $o$:
$$o = 60 - 23 = 37$$

5. Now, we need to find the total number of heads. Lumix aliens have 1 head each and Obscra aliens have 2 heads each. Therefore, the total number of heads is:
$$l + 2o = 23 + 2 \times 37 = 23 + 74 = 97$$

The final answer is $\boxed{97}$