Assuming the tables were turned and we would live in a system like Kepler-422/423/424, some 2,000 ly away. If we'd look at the Solar system with a telescope like Kepler and using techniques like radial velocity and/or transit photometry, what would we see? Would it be possible to identify any planets at all, considering the larger ones like Jupiter and Saturn have pretty long orbital periods and the smaller ones are, well, just too small?
edit: Obviously I didn't account for the possibility of misaligned declination, thanks Jim for pointing this out. Now, if we would look head on, e.g. be in a position to theoretically "see" the planets, would we also detect them in the data?
edit 2 (this does not answer the question, so I put it up as an edit for some additional information): Jim's comment to the question (about declination) made me look up if there was a possibility to also give some kind of probability to whether planets are in our line-of-sight, i.e., statistically, how many orbital planes would we look at from the right angle, so that transits could be seen in the first place?
Obviously, the probability to detect planets transiting their host star depends on their vicinity to the star. Closer planets have a higher probability to be found than those more far out. For Earth and Venus the probability to be found transiting from an observation point anywhere (360 degrees) in space would basically be 0.47% and 0.65% respectively. These probabilities of course change with input of more variables.
For an interesting and quite comprehensive article about this, please refer to http://web.archive.org/web/20090825002919/http://kepler.nasa.gov/sci/basis/character.html