Beayf was right. That table in front of the curtain is not an altar, but a table with a cross, candles, and liturgical books. At this table, various sacramental and liturgical services (e.g., Vespers, Matins) that are not Eucharistic are conducted. For instance, I believe in EO churches, weddings are done at such a table, although it is not a permanent fixture; in Indian churches, it is.
The altar is almost always freestanding, although there are some exceptions (but usually never, in my experience, with the main altar, which is always freestanding).
The basic structure of Byzantine churches and Syrian ones seems to be the same: altar, with a division, an area between this division and the nave (solea/chancel), and the nave. After this, there are some differences.
Indian churches usually follow a certain pattern, but in the diaspora, if you can't afford to build your own church, you buy someone else's and convert it. Here in the NE USA, one can see EO churches in the Byzantine or Russian styles, and you can also see EO churches which are converted Protestant churches, or look very much like them.