I think what you are after is a table that when click will slide the opposite way. Instead of FirstTable sliding out to the left and SecondTable sliding IN from the right you want it to slide the other way. This will be a more difficult task.
On the other hand about having the text on the other side of the table:
Make sure that your cells are being defined with default style
cell = [[[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault reuseIdentifier:CellIdentifier];
Then all you have to to is align the text in the textLabel to the right:
cell.textLabel.textAlignment = UITextAlignmentRight;
Hope this helped,
Seb Kade